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BT 34.016 345.991 Td /F1 24.0 Tf [(Local Theory Of Banach Spaces Nyu Courant)] TJ ET
BT 34.016 300.329 Td /F1 12.0 Tf [(Thank you for reading )] TJ ET
BT 154.076 300.329 Td /F1 12.0 Tf [(Local Theory Of Banach Spaces Nyu Courant)] TJ ET
BT 397.520 300.329 Td /F1 12.0 Tf [(. As you may know, people )] TJ ET
BT 34.016 285.677 Td /F1 12.0 Tf [(have look numerous times for their chosen novels like this Local Theory Of Banach Spaces Nyu )] TJ ET
BT 34.016 271.025 Td /F1 12.0 Tf [(Courant, but end up in malicious downloads. )] TJ ET
BT 34.016 256.373 Td /F1 12.0 Tf [(Rather than reading a good book with a cup of coffee in the afternoon, instead they are facing )] TJ ET
BT 533.648 256.373 Td /F1 12.0 Tf [(with )] TJ ET
BT 34.016 241.721 Td /F1 12.0 Tf [(some harmful bugs inside their desktop computer. )] TJ ET
BT 34.016 212.669 Td /F1 12.0 Tf [(Local Theory Of Banach Spaces Nyu Courant is available in our book collection an online access )] TJ ET
BT 34.016 198.017 Td /F1 12.0 Tf [(to it is set as public so you can get it instantly. )] TJ ET
BT 34.016 183.365 Td /F1 12.0 Tf [(Our book servers hosts in multiple locations, allowing you to get the most less latency time to )] TJ ET
BT 34.016 168.713 Td /F1 12.0 Tf [(download any of our books like this one. )] TJ ET
BT 34.016 154.061 Td /F1 12.0 Tf [(Kindly say, the Local Theory Of Banach Spaces Nyu Courant is universally compatible with any )] TJ ET
BT 34.016 139.409 Td /F1 12.0 Tf [(devices to read)] TJ ET
BT 34.016 86.357 Td /F1 12.0 Tf [(Geometry Over Nonclosed Fields)] TJ ET
BT 211.400 86.357 Td /F1 12.0 Tf [( Fedor Bogomolov 2017-02-09 Based on the Simons Symposia )] TJ ET
BT 34.016 71.705 Td /F1 12.0 Tf [(held in 2015, the proceedings in this volume focus on rational curves on higher-dimensional )] TJ ET
BT 34.016 57.053 Td /F1 12.0 Tf [(algebraic varieties and applications of the theory of curves to arithmetic problems. There has been )] TJ ET
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BT 34.016 373.793 Td /F1 12.0 Tf [(significant progress in this field with major new results, which have given new impetus to the study )] TJ ET
BT 34.016 359.141 Td /F1 12.0 Tf [(of rational curves and spaces of rational curves on K3 surfaces and their higher-dimensional )] TJ ET
BT 34.016 344.489 Td /F1 12.0 Tf [(generalizations. One main recent insight the book covers is the idea that the geometry of rational )] TJ ET
BT 34.016 329.837 Td /F1 12.0 Tf [(curves is tightly coupled to properties of derived categories of sheaves on K3 surfaces. The )] TJ ET
BT 34.016 315.185 Td /F1 12.0 Tf [(implementation of this idea led to proofs of long-standing conjectures concerning birational )] TJ ET
BT 34.016 300.533 Td /F1 12.0 Tf [(properties of holomorphic symplectic varieties, which in turn should yield new theorems in )] TJ ET
BT 34.016 285.881 Td /F1 12.0 Tf [(arithmetic. This proceedings volume covers these new insights in detail.)] TJ ET
BT 34.016 271.229 Td /F1 12.0 Tf [(Inverse Source Problems)] TJ ET
BT 168.728 271.229 Td /F1 12.0 Tf [( Victor Isakov 1990 Inverse problems arise in many areas of )] TJ ET
BT 34.016 256.577 Td /F1 12.0 Tf [(mathematical physics, and applications are rapidly expanding to such areas as geophysics, )] TJ ET
BT 34.016 241.925 Td /F1 12.0 Tf [(chemistry, medicine, and engineering. The main theme of this book is uniqueness, stability, and )] TJ ET
BT 34.016 227.273 Td /F1 12.0 Tf [(existence of solutions of inverse problems for partial differential equations. Focusing primarily on )] TJ ET
BT 34.016 212.621 Td /F1 12.0 Tf [(the inverse problem of potential theory and closely related questions such as coefficient )] TJ ET
BT 34.016 197.969 Td /F1 12.0 Tf [(identification problems, this book will give readers an understanding of the results of a substantial )] TJ ET
BT 34.016 183.317 Td /F1 12.0 Tf [(part of the theory of inverse problems and of some of the new ideas and methods used.The author )] TJ ET
BT 34.016 168.665 Td /F1 12.0 Tf [(provides complete proofs of most general uniqueness theorems for the inverse problem of )] TJ ET
BT 34.016 154.013 Td /F1 12.0 Tf [(gravimetry, a detailed study of regularity properties \(including examples of non-regular domains )] TJ ET
BT 34.016 139.361 Td /F1 12.0 Tf [(with regular potentials\), counterexamples to uniqueness and uniqueness theorems, and a )] TJ ET
BT 34.016 124.709 Td /F1 12.0 Tf [(treatment of the theory of non-stationary problems. In addition, the book deals with the )] TJ ET
BT 34.016 110.057 Td /F1 12.0 Tf [(orthogonality method, formulates several important unsolved problems, and suggests certain )] TJ ET
BT 34.016 95.405 Td /F1 12.0 Tf [(technical means appropriate for further study; some numerical methods are also outlined. )] TJ ET
BT 34.016 80.753 Td /F1 12.0 Tf [(Requiring a background in the basics of differential equations and function theory, this book is )] TJ ET
BT 34.016 66.101 Td /F1 12.0 Tf [(directed at mathematicians specializing in partial differential equations and potential theory, as well )] TJ ET
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BT 34.016 373.793 Td /F1 12.0 Tf [(as physicists, geophysicists, and engineers.)] TJ ET
BT 34.016 359.141 Td /F1 12.0 Tf [(Dissertation Abstracts International)] TJ ET
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34.016 357.161 m 220.088 357.161 l S
BT 220.088 359.141 Td /F1 12.0 Tf [( 1970 )] TJ ET
BT 34.016 344.489 Td /F1 12.0 Tf [(Meshfree Methods for Partial Differential Equations VI)] TJ ET
0.24 w 0 J [ ] 0 d
34.016 342.509 m 320.132 342.509 l S
BT 320.132 344.489 Td /F1 12.0 Tf [( Michael Griebel 2012-12-16 Meshfree )] TJ ET
BT 34.016 329.837 Td /F1 12.0 Tf [(methods are a modern alternative to classical mesh-based discretization techniques such as finite )] TJ ET
BT 34.016 315.185 Td /F1 12.0 Tf [(differences or finite element methods. Especially in a time-dependent setting or in the treatment of )] TJ ET
BT 34.016 300.533 Td /F1 12.0 Tf [(problems with strongly singular solutions their independence of a mesh makes these methods )] TJ ET
BT 34.016 285.881 Td /F1 12.0 Tf [(highly attractive. This volume collects selected papers presented at the Sixth International )] TJ ET
BT 34.016 271.229 Td /F1 12.0 Tf [(Workshop on Meshfree Methods held in Bonn, Germany in October 2011. They address various )] TJ ET
BT 34.016 256.577 Td /F1 12.0 Tf [(aspects of this very active research field and cover topics from applied mathematics, physics and )] TJ ET
BT 34.016 241.925 Td /F1 12.0 Tf [(engineering. ?)] TJ ET
BT 34.016 227.273 Td /F1 12.0 Tf [(Government Reports Index)] TJ ET
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34.016 225.293 m 178.076 225.293 l S
BT 178.076 227.273 Td /F1 12.0 Tf [( 1971 )] TJ ET
BT 34.016 212.621 Td /F1 12.0 Tf [(Government Reports Announcements & Index)] TJ ET
BT 279.464 212.621 Td /F1 12.0 Tf [( 1971 )] TJ ET
BT 34.016 197.969 Td /F1 12.0 Tf [(The Rademacher Legacy to Mathematics)] TJ ET
0.24 w 0 J [ ] 0 d
34.016 195.989 m 253.436 195.989 l S
BT 253.436 197.969 Td /F1 12.0 Tf [( George E. Andrews 1994 This book contains papers )] TJ ET
BT 34.016 183.317 Td /F1 12.0 Tf [(presented at the Hans Rademacher Centenary Conference, held at Pennsylvania State University )] TJ ET
BT 34.016 168.665 Td /F1 12.0 Tf [(in July 1992. The astonishing breadth of Rademacher's mathematical interests is well represented )] TJ ET
BT 34.016 154.013 Td /F1 12.0 Tf [(in this volume. The papers collected here range over such topics as modular forms, partitions and )] TJ ET
BT 34.016 139.361 Td /F1 12.0 Tf [($q$-series, Dedekind sums, and Ramanujan type identities. Rounding out the volume is the )] TJ ET
BT 34.016 124.709 Td /F1 12.0 Tf [(opening paper, which presents a biography of Rademacher. This volume is a fitting tribute to a )] TJ ET
BT 34.016 110.057 Td /F1 12.0 Tf [(remarkable mathematician whose work continues to influence mathematics today.)] TJ ET
BT 34.016 95.405 Td /F1 12.0 Tf [(Hypocoercivity)] TJ ET
0.24 w 0 J [ ] 0 d
34.016 93.425 m 112.028 93.425 l S
BT 112.028 95.405 Td /F1 12.0 Tf [( CŽdric Villani 2009-10-08 This memoir attempts at a systematic study of )] TJ ET
BT 34.016 80.753 Td /F1 12.0 Tf [(convergence to stationary state for certain classes of degenerate diffusive equations, taking the )] TJ ET
BT 34.016 66.101 Td /F1 12.0 Tf [(general form ${\\frac{\\partial f}{\\partial t}}+ L f =0$. The question is whether and how one can )] TJ ET
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BT 34.016 373.793 Td /F1 12.0 Tf [(overcome the degeneracy by exploiting commutators.)] TJ ET
BT 34.016 359.141 Td /F1 12.0 Tf [(Asymptotic Theory of Finite Dimensional Normed Spaces)] TJ ET
BT 338.108 359.141 Td /F1 12.0 Tf [( Vitali D. Milman 2009-02-27 This book )] TJ ET
BT 34.016 344.489 Td /F1 12.0 Tf [(deals with the geometrical structure of finite dimensional normed spaces, as the dimension grows )] TJ ET
BT 34.016 329.837 Td /F1 12.0 Tf [(to infinity. This is a part of what came to be known as the Local Theory of Banach Spaces \(this )] TJ ET
BT 34.016 315.185 Td /F1 12.0 Tf [(name was derived from the fact that in its first stages, this theory dealt mainly with relating the )] TJ ET
BT 34.016 300.533 Td /F1 12.0 Tf [(structure of infinite dimensional Banach spaces to the structure of their lattice of finite dimensional )] TJ ET
BT 34.016 285.881 Td /F1 12.0 Tf [(subspaces\). Our purpose in this book is to introduce the reader to some of the results, problems, )] TJ ET
BT 34.016 271.229 Td /F1 12.0 Tf [(and mainly methods developed in the Local Theory, in the last few years. This by no means is a )] TJ ET
BT 34.016 256.577 Td /F1 12.0 Tf [(complete survey of this wide area. Some of the main topics we do not discuss here are mentioned )] TJ ET
BT 34.016 241.925 Td /F1 12.0 Tf [(in the Notes and Remarks section. Several books appeared recently or are going to appear )] TJ ET
BT 34.016 227.273 Td /F1 12.0 Tf [(shortly, which cover much of the material not covered in this book. Among these are Pisier's [Pis6] )] TJ ET
BT 34.016 212.621 Td /F1 12.0 Tf [(where factorization theorems related to Grothendieck's theorem are extensively discussed, and )] TJ ET
BT 34.016 197.969 Td /F1 12.0 Tf [(Tomczak-Jaegermann's [T-Jl] where operator ideals and distances between finite dimensional )] TJ ET
BT 34.016 183.317 Td /F1 12.0 Tf [(normed spaces are studied in detail. Another related book is Pietch's [Pie].)] TJ ET
BT 34.016 168.665 Td /F1 12.0 Tf [(A Journey Through Discrete Mathematics)] TJ ET
BT 254.756 168.665 Td /F1 12.0 Tf [( Martin Loebl 2017-10-11 This collection of high-quality )] TJ ET
BT 34.016 154.013 Td /F1 12.0 Tf [(articles in the field of combinatorics, geometry, algebraic topology and theoretical computer )] TJ ET
BT 34.016 139.361 Td /F1 12.0 Tf [(science is a tribute to Ji?í Matoušek, who passed away prematurely in March 2015. It is a )] TJ ET
BT 34.016 124.709 Td /F1 12.0 Tf [(collaborative effort by his colleagues and friends, who have paid particular attention to clarity of )] TJ ET
BT 34.016 110.057 Td /F1 12.0 Tf [(exposition – something Jirka would have approved of. The original research articles, surveys and )] TJ ET
BT 34.016 95.405 Td /F1 12.0 Tf [(expository articles, written by leading experts in their respective fields, map Ji?í Matoušek’s )] TJ ET
BT 34.016 80.753 Td /F1 12.0 Tf [(numerous areas of mathematical interest.)] TJ ET
BT 34.016 66.101 Td /F1 12.0 Tf [(Foundations of Chemical Reaction Network Theory)] TJ ET
BT 305.444 66.101 Td /F1 12.0 Tf [( Martin Feinberg 2019-01-31 This book )] TJ ET
BT 34.016 51.449 Td /F1 12.0 Tf [(provides an authoritative introduction to the rapidly growing field of chemical reaction network )] TJ ET
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BT 34.016 373.793 Td /F1 12.0 Tf [(theory. In particular, the book presents deep and surprising theorems that relate the graphical and )] TJ ET
BT 34.016 359.141 Td /F1 12.0 Tf [(algebraic structure of a reaction network to qualitative properties of the intricate system of )] TJ ET
BT 34.016 344.489 Td /F1 12.0 Tf [(nonlinear differential equations that the network induces. Over the course of three main parts, )] TJ ET
BT 34.016 329.837 Td /F1 12.0 Tf [(Feinberg provides a gradual transition from a tutorial on the basics of reaction network theory, to a )] TJ ET
BT 34.016 315.185 Td /F1 12.0 Tf [(survey of some of its principal theorems, and, finally, to a discussion of the theory’s more technical )] TJ ET
BT 34.016 300.533 Td /F1 12.0 Tf [(aspects. Written with great clarity, this book will be of value to mathematicians and to )] TJ ET
BT 34.016 285.881 Td /F1 12.0 Tf [(mathematically-inclined biologists, chemists, physicists, and engineers who want to contribute to )] TJ ET
BT 34.016 271.229 Td /F1 12.0 Tf [(chemical reaction network theory or make use of its powerful results.)] TJ ET
BT 34.016 256.577 Td /F1 12.0 Tf [(Geometry of Cuts and Metrics)] TJ ET
BT 193.400 256.577 Td /F1 12.0 Tf [( Michel Marie Deza 2009-11-12 Cuts and metrics are well-known )] TJ ET
BT 34.016 241.925 Td /F1 12.0 Tf [(objects that arise - independently, but with many deep and fascinating connections - in diverse )] TJ ET
BT 34.016 227.273 Td /F1 12.0 Tf [(fields: in graph theory, combinatorial optimization, geometry of numbers, combinatorial matrix )] TJ ET
BT 34.016 212.621 Td /F1 12.0 Tf [(theory, statistical physics, VLSI design etc. This book presents a wealth of results, from different )] TJ ET
BT 34.016 197.969 Td /F1 12.0 Tf [(mathematical disciplines, in a unified comprehensive manner, and establishes new and old links, )] TJ ET
BT 34.016 183.317 Td /F1 12.0 Tf [(which cannot be found elsewhere. It provides a unique and invaluable source for researchers and )] TJ ET
BT 34.016 168.665 Td /F1 12.0 Tf [(graduate students. From the Reviews: "This book is definitely a milestone in the literature of )] TJ ET
BT 34.016 154.013 Td /F1 12.0 Tf [(integer programming and combinatorial optimization. It draws from the Interdisciplinarity of these )] TJ ET
BT 34.016 139.361 Td /F1 12.0 Tf [(fields [...]. With knowledge about the relevant terms, one can enjoy special subsections without )] TJ ET
BT 34.016 124.709 Td /F1 12.0 Tf [(being entirely familiar with the rest of the chapter. This makes it not only an interesting research )] TJ ET
BT 34.016 110.057 Td /F1 12.0 Tf [(book but even a dictionary. [...] The longer one works with it, the more beautiful it becomes." )] TJ ET
BT 34.016 95.405 Td /F1 12.0 Tf [(Optima 56, 1997.)] TJ ET
BT 34.016 80.753 Td /F1 12.0 Tf [(Geometric Nonlinear Functional Analysis)] TJ ET
BT 250.748 80.753 Td /F1 12.0 Tf [( Yoav Benyamini 2000 A systematic study of geometric )] TJ ET
BT 34.016 66.101 Td /F1 12.0 Tf [(nonlinear functional analysis. The main theme is the study of uniformly continuous and Lipschitz )] TJ ET
BT 34.016 51.449 Td /F1 12.0 Tf [(functions between Banach spaces. This study leads to the classification of Banach spaces and of )] TJ ET
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BT 34.016 373.793 Td /F1 12.0 Tf [(their important subsets in the uniform and Lipschitz categories.)] TJ ET
BT 34.016 359.141 Td /F1 12.0 Tf [(Absolutely Summing Operators)] TJ ET
BT 200.072 359.141 Td /F1 12.0 Tf [( Joe Diestel 1995-04-27 This text provides the beginning graduate )] TJ ET
BT 34.016 344.489 Td /F1 12.0 Tf [(student with an account of p-summing and related operators.)] TJ ET
BT 34.016 329.837 Td /F1 12.0 Tf [(Fourier Series, Fourier Transform and Their Applications to Mathematical Physics)] TJ ET
BT 466.808 329.837 Td /F1 12.0 Tf [( Valery Serov )] TJ ET
BT 34.016 315.185 Td /F1 12.0 Tf [(2018-08-31 This text serves as an introduction to the modern theory of analysis and differential )] TJ ET
BT 34.016 300.533 Td /F1 12.0 Tf [(equations with applications in mathematical physics and engineering sciences. Having outgrown )] TJ ET
BT 34.016 285.881 Td /F1 12.0 Tf [(from a series of half-semester courses given at University of Oulu, this book consists of four self-)] TJ ET
BT 34.016 271.229 Td /F1 12.0 Tf [(contained parts. The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the )] TJ ET
BT 34.016 256.577 Td /F1 12.0 Tf [(classical one-dimensional trigonometric Fourier series with some applications to PDEs and signal )] TJ ET
BT 34.016 241.925 Td /F1 12.0 Tf [(processing. The second part, Fourier Transform and Distributions, is concerned with distribution )] TJ ET
BT 34.016 227.273 Td /F1 12.0 Tf [(theory of L. Schwartz and its applications to the Schrödinger and magnetic Schrödinger )] TJ ET
BT 34.016 212.621 Td /F1 12.0 Tf [(operations. The third part, Operator Theory and Integral Equations, is devoted mostly to the self-)] TJ ET
BT 34.016 197.969 Td /F1 12.0 Tf [(adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in )] TJ ET
BT 34.016 183.317 Td /F1 12.0 Tf [(such spaces. The fourth and final part, Introduction to Partial Differential Equations, serves as an )] TJ ET
BT 34.016 168.665 Td /F1 12.0 Tf [(introduction to modern methods for classical theory of partial differential equations. Complete with )] TJ ET
BT 34.016 154.013 Td /F1 12.0 Tf [(nearly 250 exercises throughout, this text is intended for graduate level students and researchers )] TJ ET
BT 34.016 139.361 Td /F1 12.0 Tf [(in the mathematical sciences and engineering.)] TJ ET
BT 34.016 124.709 Td /F1 12.0 Tf [(Index to Scientific & Technical Proceedings)] TJ ET
BT 264.116 124.709 Td /F1 12.0 Tf [( 1980 Monthly, with annual cumulation. Published )] TJ ET
BT 34.016 110.057 Td /F1 12.0 Tf [(conference literature useful both as current awareness and retrospective tools that allow searching )] TJ ET
BT 34.016 95.405 Td /F1 12.0 Tf [(by authors of individual papers as well as by editors. Includes proceedings in all formats, i.e., )] TJ ET
BT 34.016 80.753 Td /F1 12.0 Tf [(books, reports, journal issues, etc. Complete bibliographical information for each conference )] TJ ET
BT 34.016 66.101 Td /F1 12.0 Tf [(proceedings appears in section titled Contents of proceedings, with accompanying category, )] TJ ET
BT 34.016 51.449 Td /F1 12.0 Tf [(permuterm subject, sponsor, author/editor, meeting location, and corporate indexes. Contains )] TJ ET
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BT 34.016 373.793 Td /F1 12.0 Tf [(abbreviations used in organizational and geographical names.)] TJ ET
BT 34.016 359.141 Td /F1 12.0 Tf [(Banach Spaces for Analysts)] TJ ET
BT 184.088 359.141 Td /F1 12.0 Tf [( P. Wojtaszczyk 1996-08 This book is intended to be used with )] TJ ET
BT 34.016 344.489 Td /F1 12.0 Tf [(graduate courses in Banach space theory.)] TJ ET
BT 34.016 329.837 Td /F1 12.0 Tf [(An Invitation to Modern Number Theory)] TJ ET
BT 244.100 329.837 Td /F1 12.0 Tf [( Steven J. Miller 2006-03-26 In a manner accessible to )] TJ ET
BT 34.016 315.185 Td /F1 12.0 Tf [(beginning undergraduates, An Invitation to Modern Number Theory introduces many of the central )] TJ ET
BT 34.016 300.533 Td /F1 12.0 Tf [(problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, )] TJ ET
BT 34.016 285.881 Td /F1 12.0 Tf [(Roth's Theorem, the Circle Method, and Random Matrix Theory. Showing how experiments are )] TJ ET
BT 34.016 271.229 Td /F1 12.0 Tf [(used to test conjectures and prove theorems, the book allows students to do original work on such )] TJ ET
BT 34.016 256.577 Td /F1 12.0 Tf [(problems, often using little more than calculus \(though there are numerous remarks for those with )] TJ ET
BT 34.016 241.925 Td /F1 12.0 Tf [(deeper backgrounds\). It shows students what number theory theorems are used for and what led )] TJ ET
BT 34.016 227.273 Td /F1 12.0 Tf [(to them and suggests problems for further research. Steven Miller and Ramin Takloo-Bighash )] TJ ET
BT 34.016 212.621 Td /F1 12.0 Tf [(introduce the problems and the computational skills required to numerically investigate them, )] TJ ET
BT 34.016 197.969 Td /F1 12.0 Tf [(providing background material \(from probability to statistics to Fourier analysis\) whenever )] TJ ET
BT 34.016 183.317 Td /F1 12.0 Tf [(necessary. They guide students through a variety of problems, ranging from basic number theory, )] TJ ET
BT 34.016 168.665 Td /F1 12.0 Tf [(cryptography, and Goldbach's Problem, to the algebraic structures of numbers and continued )] TJ ET
BT 34.016 154.013 Td /F1 12.0 Tf [(fractions, showing connections between these subjects and encouraging students to study them )] TJ ET
BT 34.016 139.361 Td /F1 12.0 Tf [(further. In addition, this is the first undergraduate book to explore Random Matrix Theory, which )] TJ ET
BT 34.016 124.709 Td /F1 12.0 Tf [(has recently become a powerful tool for predicting answers in number theory. Providing exercises, )] TJ ET
BT 34.016 110.057 Td /F1 12.0 Tf [(references to the background literature, and Web links to previous student research projects, An )] TJ ET
BT 34.016 95.405 Td /F1 12.0 Tf [(Invitation to Modern Number Theory can be used to teach a research seminar or a lecture class.)] TJ ET
BT 34.016 80.753 Td /F1 12.0 Tf [(Classical Banach Spaces II)] TJ ET
BT 179.408 80.753 Td /F1 12.0 Tf [( J. Lindenstrauss 2013-12-11 )] TJ ET
BT 34.016 66.101 Td /F1 12.0 Tf [(Linear Integral Equations)] TJ ET
BT 167.420 66.101 Td /F1 12.0 Tf [( Rainer Kress 2013-12-04 This book combines theory, applications, and )] TJ ET
BT 34.016 51.449 Td /F1 12.0 Tf [(numerical methods, and covers each of these fields with the same weight. In order to make the )] TJ ET
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BT 34.016 373.793 Td /F1 12.0 Tf [(book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-)] TJ ET
BT 34.016 359.141 Td /F1 12.0 Tf [(contained as possible, requiring only a solid foundation in differential and integral calculus. The )] TJ ET
BT 34.016 344.489 Td /F1 12.0 Tf [(functional analysis which is necessary for an adequate treatment of the theory and the numerical )] TJ ET
BT 34.016 329.837 Td /F1 12.0 Tf [(solution of integral equations is developed within the book itself. Problems are included at the end )] TJ ET
BT 34.016 315.185 Td /F1 12.0 Tf [(of each chapter. For this third edition in order to make the introduction to the basic functional )] TJ ET
BT 34.016 300.533 Td /F1 12.0 Tf [(analytic tools more complete the Hahn–Banach extension theorem and the Banach open mapping )] TJ ET
BT 34.016 285.881 Td /F1 12.0 Tf [(theorem are now included in the text. The treatment of boundary value problems in potential )] TJ ET
BT 34.016 271.229 Td /F1 12.0 Tf [(theory has been extended by a more complete discussion of integral equations of the first kind in )] TJ ET
BT 34.016 256.577 Td /F1 12.0 Tf [(the classical Holder space setting and of both integral equations of the first and second kind in the )] TJ ET
BT 34.016 241.925 Td /F1 12.0 Tf [(contemporary Sobolev space setting. In the numerical solution part of the book, the author )] TJ ET
BT 34.016 227.273 Td /F1 12.0 Tf [(included a new collocation method for two-dimensional hypersingular boundary integral equations )] TJ ET
BT 34.016 212.621 Td /F1 12.0 Tf [(and a collocation method for the three-dimensional Lippmann-Schwinger equation. The final )] TJ ET
BT 34.016 197.969 Td /F1 12.0 Tf [(chapter of the book on inverse boundary value problems for the Laplace equation has been largely )] TJ ET
BT 34.016 183.317 Td /F1 12.0 Tf [(rewritten with special attention to the trilogy of decomposition, iterative and sampling methods )] TJ ET
BT 34.016 168.665 Td /F1 12.0 Tf [(Reviews of earlier editions: "This book is an excellent introductory text for students, scientists, and )] TJ ET
BT 34.016 154.013 Td /F1 12.0 Tf [(engineers who want to learn the basic theory of linear integral equations and their numerical )] TJ ET
BT 34.016 139.361 Td /F1 12.0 Tf [(solution." \(Math. Reviews, 2000\) "This is a good introductory text book on linear integral equations. )] TJ ET
BT 34.016 124.709 Td /F1 12.0 Tf [(It contains almost all the topics necessary for a student. The presentation of the subject matter is )] TJ ET
BT 34.016 110.057 Td /F1 12.0 Tf [(lucid, clear and in the proper modern framework without being too abstract." \(ZbMath, 1999\))] TJ ET
BT 34.016 95.405 Td /F1 12.0 Tf [(Functional Analysis)] TJ ET
BT 137.384 95.405 Td /F1 12.0 Tf [( Peter D. Lax 2014-08-28 Includes sections on the spectral resolution and )] TJ ET
BT 34.016 80.753 Td /F1 12.0 Tf [(spectralrepresentation of self adjoint operators, invariant subspaces,strongly continuous one-)] TJ ET
BT 34.016 66.101 Td /F1 12.0 Tf [(parameter semigroups, the index ofoperators, the trace formula of Lidskii, the Fredholm )] TJ ET
BT 34.016 51.449 Td /F1 12.0 Tf [(determinant,and more. * Assumes prior knowledge of Naive set theory, linear algebra,point set )] TJ ET
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BT 34.016 373.793 Td /F1 12.0 Tf [(topology, basic complex variable, and realvariables. * Includes an appendix on the Riesz )] TJ ET
BT 34.016 359.141 Td /F1 12.0 Tf [(representation theorem.)] TJ ET
BT 34.016 344.489 Td /F1 12.0 Tf [(Computer Mathematics)] TJ ET
BT 158.048 344.489 Td /F1 12.0 Tf [( 1979 )] TJ ET
BT 34.016 329.837 Td /F1 12.0 Tf [(Harmonic Analysis and Applications)] TJ ET
BT 224.744 329.837 Td /F1 12.0 Tf [( Michael Th. Rassias 2021-05-02 This edited volume presents )] TJ ET
BT 34.016 315.185 Td /F1 12.0 Tf [(state-of-the-art developments in various areas in which Harmonic Analysis is applied. )] TJ ET
BT 34.016 300.533 Td /F1 12.0 Tf [(Contributions cover a variety of different topics and problems treated such as structure and )] TJ ET
BT 34.016 285.881 Td /F1 12.0 Tf [(optimization in computational harmonic analysis, sampling and approximation in shift invariant )] TJ ET
BT 34.016 271.229 Td /F1 12.0 Tf [(subspaces of L2\(R\), optimal rank one matrix decomposition, the Riemann Hypothesis, large sets )] TJ ET
BT 34.016 256.577 Td /F1 12.0 Tf [(avoiding rough patterns, Hardy Littlewood series, Navier–Stokes equations, sleep dynamics )] TJ ET
BT 34.016 241.925 Td /F1 12.0 Tf [(exploration and automatic annotation by combining modern harmonic analysis tools, harmonic )] TJ ET
BT 34.016 227.273 Td /F1 12.0 Tf [(functions in slabs and half-spaces, Andoni –Krauthgamer –Razenshteyn characterization of )] TJ ET
BT 34.016 212.621 Td /F1 12.0 Tf [(sketchable norms fails for sketchable metrics, random matrix theory, multiplicative completion of )] TJ ET
BT 34.016 197.969 Td /F1 12.0 Tf [(redundant systems in Hilbert and Banach function spaces. Efforts have been made to ensure that )] TJ ET
BT 34.016 183.317 Td /F1 12.0 Tf [(the content of the book constitutes a valuable resource for graduate students as well as senior )] TJ ET
BT 34.016 168.665 Td /F1 12.0 Tf [(researchers working on Harmonic Analysis and its various interconnections with related areas.)] TJ ET
BT 34.016 154.013 Td /F1 12.0 Tf [(Polyfold and Fredholm Theory)] TJ ET
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34.016 152.033 m 194.744 152.033 l S
BT 194.744 154.013 Td /F1 12.0 Tf [( Helmut Hofer 2021-07-21 This book pioneers a nonlinear Fredholm )] TJ ET
BT 34.016 139.361 Td /F1 12.0 Tf [(theory in a general class of spaces called polyfolds. The theory generalizes certain aspects of )] TJ ET
BT 34.016 124.709 Td /F1 12.0 Tf [(nonlinear analysis and differential geometry, and combines them with a pinch of category theory to )] TJ ET
BT 34.016 110.057 Td /F1 12.0 Tf [(incorporate local symmetries. On the differential geometrical side, the book introduces a large )] TJ ET
BT 34.016 95.405 Td /F1 12.0 Tf [(class of `smooth’ spaces and bundles which can have locally varying dimensions \(finite or infinite-)] TJ ET
BT 34.016 80.753 Td /F1 12.0 Tf [(dimensional\). These bundles come with an important class of sections, which display properties )] TJ ET
BT 34.016 66.101 Td /F1 12.0 Tf [(reminiscent of classical nonlinear Fredholm theory and allow for implicit function theorems. Within )] TJ ET
BT 34.016 51.449 Td /F1 12.0 Tf [(this nonlinear analysis framework, a versatile transversality and perturbation theory is developed )] TJ ET
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BT 34.016 373.793 Td /F1 12.0 Tf [(to also cover equivariant settings. The theory presented in this book was initiated by the authors )] TJ ET
BT 34.016 359.141 Td /F1 12.0 Tf [(between 2007-2010, motivated by nonlinear moduli problems in symplectic geometry. Such )] TJ ET
BT 34.016 344.489 Td /F1 12.0 Tf [(problems are usually described locally as nonlinear elliptic systems, and they have to be studied )] TJ ET
BT 34.016 329.837 Td /F1 12.0 Tf [(up to a notion of isomorphism. This introduces symmetries, since such a system can be )] TJ ET
BT 34.016 315.185 Td /F1 12.0 Tf [(isomorphic to itself in different ways. Bubbling-off phenomena are common and have to be )] TJ ET
BT 34.016 300.533 Td /F1 12.0 Tf [(completely understood to produce algebraic invariants. This requires a transversality theory for )] TJ ET
BT 34.016 285.881 Td /F1 12.0 Tf [(bubbling-off phenomena in the presence of symmetries. Very often, even in concrete applications, )] TJ ET
BT 34.016 271.229 Td /F1 12.0 Tf [(geometric perturbations are not general enough to achieve transversality, and abstract )] TJ ET
BT 34.016 256.577 Td /F1 12.0 Tf [(perturbations have to be considered. The theory is already being successfully applied to its )] TJ ET
BT 34.016 241.925 Td /F1 12.0 Tf [(intended applications in symplectic geometry, and should find applications to many other areas )] TJ ET
BT 34.016 227.273 Td /F1 12.0 Tf [(where partial differential equations, geometry and functional analysis meet. Written by its )] TJ ET
BT 34.016 212.621 Td /F1 12.0 Tf [(originators, Polyfold and Fredholm Theory is an authoritative and comprehensive treatise of )] TJ ET
BT 34.016 197.969 Td /F1 12.0 Tf [(polyfold theory. It will prove invaluable for researchers studying nonlinear elliptic problems arising )] TJ ET
BT 34.016 183.317 Td /F1 12.0 Tf [(in geometric contexts.)] TJ ET
BT 34.016 168.665 Td /F1 12.0 Tf [(The Survival of a Mathematician)] TJ ET
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34.016 166.685 m 205.412 166.685 l S
BT 205.412 168.665 Td /F1 12.0 Tf [( Steven George Krantz 2009-01 "One of the themes of the book is )] TJ ET
BT 34.016 154.013 Td /F1 12.0 Tf [(how to have a fulfilling professional life. In order to achieve this goal, Krantz discusses keeping a )] TJ ET
BT 34.016 139.361 Td /F1 12.0 Tf [(vigorous scholarly program going and finding new challenges, as well as dealing with the everyday )] TJ ET
BT 34.016 124.709 Td /F1 12.0 Tf [(tasks of research, teaching, and administration." "In short, this is a survival manual for the )] TJ ET
BT 34.016 110.057 Td /F1 12.0 Tf [(professional mathematician - both in academics and in industry and government agencies. It is a )] TJ ET
BT 34.016 95.405 Td /F1 12.0 Tf [(sequel to the author's A Mathematician's Survival Guide."--BOOK JACKET.)] TJ ET
BT 34.016 80.753 Td /F1 12.0 Tf [(Foundations of Computational Mathematics)] TJ ET
BT 265.448 80.753 Td /F1 12.0 Tf [( DeVore Iserles Suli 2001-05-17 Collection of papers )] TJ ET
BT 34.016 66.101 Td /F1 12.0 Tf [(by leading researchers in computational mathematics, suitable for graduate students and )] TJ ET
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BT 34.016 373.793 Td /F1 12.0 Tf [(researchers.)] TJ ET
BT 34.016 359.141 Td /F1 12.0 Tf [(Government Reports Announcements)] TJ ET
BT 235.436 359.141 Td /F1 12.0 Tf [( 1971-12-10 )] TJ ET
BT 34.016 344.489 Td /F1 12.0 Tf [(Probability in Banach Spaces)] TJ ET
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34.016 342.509 m 190.088 342.509 l S
BT 190.088 344.489 Td /F1 12.0 Tf [( Michel Ledoux 2013-03-09 Isoperimetric, measure concentration )] TJ ET
BT 34.016 329.837 Td /F1 12.0 Tf [(and random process techniques appear at the basis of the modern understanding of Probability in )] TJ ET
BT 34.016 315.185 Td /F1 12.0 Tf [(Banach spaces. Based on these tools, the book presents a complete treatment of the main )] TJ ET
BT 34.016 300.533 Td /F1 12.0 Tf [(aspects of Probability in Banach spaces \(integrability and limit theorems for vector valued random )] TJ ET
BT 34.016 285.881 Td /F1 12.0 Tf [(variables, boundedness and continuity of random processes\) and of some of their links to )] TJ ET
BT 34.016 271.229 Td /F1 12.0 Tf [(Geometry of Banach spaces \(via the type and cotype properties\). Its purpose is to present some of )] TJ ET
BT 34.016 256.577 Td /F1 12.0 Tf [(the main aspects of this theory, from the foundations to the most important achievements. The )] TJ ET
BT 34.016 241.925 Td /F1 12.0 Tf [(main features of the investigation are the systematic use of isoperimetry and concentration of )] TJ ET
BT 34.016 227.273 Td /F1 12.0 Tf [(measure and abstract random process techniques \(entropy and majorizing measures\). Examples )] TJ ET
BT 34.016 212.621 Td /F1 12.0 Tf [(of these probabilistic tools and ideas to classical Banach space theory are further developed.)] TJ ET
BT 34.016 197.969 Td /F1 12.0 Tf [(The Volume of Convex Bodies and Banach Space Geometry)] TJ ET
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34.016 195.989 m 356.840 195.989 l S
BT 356.840 197.969 Td /F1 12.0 Tf [( Gilles Pisier 1999-05-27 A self-)] TJ ET
BT 34.016 183.317 Td /F1 12.0 Tf [(contained presentation of results relating the volume of convex bodies and Banach space )] TJ ET
BT 34.016 168.665 Td /F1 12.0 Tf [(geometry.)] TJ ET
BT 34.016 154.013 Td /F1 12.0 Tf [(Extended Abstracts Spring 2018)] TJ ET
0.24 w 0 J [ ] 0 d
34.016 152.033 m 206.108 152.033 l S
BT 206.108 154.013 Td /F1 12.0 Tf [( Andrei Korobeinikov 2019-09-03 This volume contains extended )] TJ ET
BT 34.016 139.361 Td /F1 12.0 Tf [(abstracts outlining selected presentations delivered by participants of the joint international )] TJ ET
BT 34.016 124.709 Td /F1 12.0 Tf [(multidisciplinary workshop MURPHYS-HSFS-2018 \(MUltiRate Processes and HYSteresis; )] TJ ET
BT 34.016 110.057 Td /F1 12.0 Tf [(Hysteresis and Slow-Fast Systems\), dedicated to the mathematical theory and applications of the )] TJ ET
BT 34.016 95.405 Td /F1 12.0 Tf [(multiple scale systems, the systems with hysteresis and general trends in the dynamical systems )] TJ ET
BT 34.016 80.753 Td /F1 12.0 Tf [(theory. The workshop was jointly organized by the Centre de Recerca Matemàtica \(CRM\), )] TJ ET
BT 34.016 66.101 Td /F1 12.0 Tf [(Barcelona, and the Collaborative Research Center 910, Berlin, and held at the Centre de Recerca )] TJ ET
BT 34.016 51.449 Td /F1 12.0 Tf [(Matemàtica in Bellaterra, Barcelona, from May 28th to June 1st, 2018. This was the ninth )] TJ ET
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BT 34.016 373.793 Td /F1 12.0 Tf [(workshop continuing a series of biennial meetings started in Ireland in 2002, and the second )] TJ ET
BT 34.016 359.141 Td /F1 12.0 Tf [(workshop of this series held at the CRM. Earlier editions of the workshops in this series were held )] TJ ET
BT 34.016 344.489 Td /F1 12.0 Tf [(in Cork, Pechs, Suceava, Lutherstadt and Berlin. The collection includes brief research articles )] TJ ET
BT 34.016 329.837 Td /F1 12.0 Tf [(reporting new results, descriptions of preliminary work, open problems, and the outcome of work in )] TJ ET
BT 34.016 315.185 Td /F1 12.0 Tf [(groups initiated during the workshop. Topics include analysis of hysteresis phenomena, multiple )] TJ ET
BT 34.016 300.533 Td /F1 12.0 Tf [(scale systems, self-organizing nonlinear systems, singular perturbations and critical phenomena, )] TJ ET
BT 34.016 285.881 Td /F1 12.0 Tf [(as well as applications of the hysteresis and the theory of singularly perturbed systems to fluid )] TJ ET
BT 34.016 271.229 Td /F1 12.0 Tf [(dynamics, chemical kinetics, cancer modeling, population modeling, mathematical economics, and )] TJ ET
BT 34.016 256.577 Td /F1 12.0 Tf [(control. The book is intended for established researchers, as well as for PhD and postdoctoral )] TJ ET
BT 34.016 241.925 Td /F1 12.0 Tf [(students who want to learn more about the latest advances in these highly active research areas.)] TJ ET
BT 34.016 227.273 Td /F1 12.0 Tf [(Metric and Differential Geometry)] TJ ET
BT 206.732 227.273 Td /F1 12.0 Tf [( Xianzhe Dai 2012-06-01 Metric and Differential Geometry grew )] TJ ET
BT 34.016 212.621 Td /F1 12.0 Tf [(out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital )] TJ ET
BT 34.016 197.969 Td /F1 12.0 Tf [(Normal University, Beijing. The various contributions to this volume cover a broad range of topics )] TJ ET
BT 34.016 183.317 Td /F1 12.0 Tf [(in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler )] TJ ET
BT 34.016 168.665 Td /F1 12.0 Tf [(geometry, index theory, hypoelliptic Laplacian and analytic torsion. It offers the most recent )] TJ ET
BT 34.016 154.013 Td /F1 12.0 Tf [(advances as well as surveys the new developments. Contributors: M.T. Anderson J.-M. Bismut X. )] TJ ET
BT 34.016 139.361 Td /F1 12.0 Tf [(Chen X. Dai R. Harvey P. Koskela B. Lawson X. Ma R. Melrose W. Müller A. Naor J. Simons C. )] TJ ET
BT 34.016 124.709 Td /F1 12.0 Tf [(Sormani D. Sullivan S. Sun G. Tian K. Wildrick W. Zhang)] TJ ET
BT 34.016 110.057 Td /F1 12.0 Tf [(Current Programs)] TJ ET
BT 129.368 110.057 Td /F1 12.0 Tf [( 1975 )] TJ ET
BT 34.016 95.405 Td /F1 12.0 Tf [(Abstracts of Papers Presented to the American Mathematical Society)] TJ ET
BT 401.504 95.405 Td /F1 12.0 Tf [( American Mathematical )] TJ ET
BT 34.016 80.753 Td /F1 12.0 Tf [(Society 2007 )] TJ ET
BT 34.016 66.101 Td /F1 12.0 Tf [(Geometric Aspects of Functional Analysis)] TJ ET
BT 255.428 66.101 Td /F1 12.0 Tf [( Bo'az Klartag 2020-06-20 Continuing the theme of the )] TJ ET
BT 34.016 51.449 Td /F1 12.0 Tf [(previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of )] TJ ET
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BT 34.016 373.793 Td /F1 12.0 Tf [(Functional Analysis, understood in a broad sense. Two classical topics represented are the )] TJ ET
BT 34.016 359.141 Td /F1 12.0 Tf [(Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has )] TJ ET
BT 34.016 344.489 Td /F1 12.0 Tf [(recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest )] TJ ET
BT 34.016 329.837 Td /F1 12.0 Tf [(examples of regularity and order in high dimensions. Central to the text is the study of the )] TJ ET
BT 34.016 315.185 Td /F1 12.0 Tf [(Poincaré and log-Sobolev functional inequalities, their reverses, and other inequalities, in which a )] TJ ET
BT 34.016 300.533 Td /F1 12.0 Tf [(crucial role is often played by convexity assumptions such as Log-Concavity. The concept and )] TJ ET
BT 34.016 285.881 Td /F1 12.0 Tf [(properties of Entropy form an important subject, with Bourgain's slicing problem and its variants )] TJ ET
BT 34.016 271.229 Td /F1 12.0 Tf [(drawing much attention. Constructions related to Convexity Theory are proposed and revisited, as )] TJ ET
BT 34.016 256.577 Td /F1 12.0 Tf [(well as inequalities that go beyond the Brunn–Minkowski theory. One of the major current research )] TJ ET
BT 34.016 241.925 Td /F1 12.0 Tf [(directions addressed is the identification of lower-dimensional structures with remarkable )] TJ ET
BT 34.016 227.273 Td /F1 12.0 Tf [(properties in rather arbitrary high-dimensional objects. In addition to functional analytic results, )] TJ ET
BT 34.016 212.621 Td /F1 12.0 Tf [(connections to Computer Science and to Differential Geometry are also discussed.)] TJ ET
BT 34.016 197.969 Td /F1 12.0 Tf [(Natural Function Algebras)] TJ ET
BT 172.736 197.969 Td /F1 12.0 Tf [( Charles E. Rickart 2012-12-06 The term "function algebra" usually )] TJ ET
BT 34.016 183.317 Td /F1 12.0 Tf [(refers to a uniformly closed algebra of complex valued continuous functions on a compact )] TJ ET
BT 34.016 168.665 Td /F1 12.0 Tf [(Hausdorff space. Such Banach alge bras, which are also called "uniform algebras", have been )] TJ ET
BT 34.016 154.013 Td /F1 12.0 Tf [(much studied during the past 15 or 20 years. Since the most important examples of uniform )] TJ ET
BT 34.016 139.361 Td /F1 12.0 Tf [(algebras consist of, or are built up from, analytic functions, it is not surprising that most of the work )] TJ ET
BT 34.016 124.709 Td /F1 12.0 Tf [(has been dominated by questions of analyticity in one form or another. In fact, the study of these )] TJ ET
BT 34.016 110.057 Td /F1 12.0 Tf [(special algebras and their generalizations accounts for the bulk of the re search on function )] TJ ET
BT 34.016 95.405 Td /F1 12.0 Tf [(algebras. We are concerned here, however, with another facet of the subject based on the )] TJ ET
BT 34.016 80.753 Td /F1 12.0 Tf [(observation that very general algebras of continuous func tions tend to exhibit certain properties )] TJ ET
BT 34.016 66.101 Td /F1 12.0 Tf [(that are strongly reminiscent of analyticity. Although there exist a variety of well-known properties )] TJ ET
BT 34.016 51.449 Td /F1 12.0 Tf [(of this kind that could be mentioned, in many ways the most striking is a local maximum modulus )] TJ ET
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BT 34.016 373.793 Td /F1 12.0 Tf [(principle proved in 1960 by Hugo Rossi [RIl]. This result, one of the deepest and most elegant in )] TJ ET
BT 34.016 359.141 Td /F1 12.0 Tf [(the theory of function algebras, is an essential tool in the theory as we have developed it here. It )] TJ ET
BT 34.016 344.489 Td /F1 12.0 Tf [(holds for an arbitrary Banaeh algebra of £unctions defined on the spectrum \(maximal ideal space\) )] TJ ET
BT 34.016 329.837 Td /F1 12.0 Tf [(of the algebra. These are the algebras, along with appropriate generalizations to algebras defined )] TJ ET
BT 34.016 315.185 Td /F1 12.0 Tf [(on noncompact spaces, that we call "natural func tion algebras".)] TJ ET
BT 34.016 300.533 Td /F1 12.0 Tf [(Factorization of Linear Operators and Geometry of Banach Spaces)] TJ ET
BT 389.516 300.533 Td /F1 12.0 Tf [( Gilles Pisier 1986 This book )] TJ ET
BT 34.016 285.881 Td /F1 12.0 Tf [(surveys the considerable progress made in Banach space theory as a result of Grothendieck's )] TJ ET
BT 34.016 271.229 Td /F1 12.0 Tf [(fundamental paper ""Resume De la Theorie Metrique des Produits Tensoriels Topologiques"". The )] TJ ET
BT 34.016 256.577 Td /F1 12.0 Tf [(author examines the central question of which Banach spaces $X$ and $Y$ have the property that )] TJ ET
BT 34.016 241.925 Td /F1 12.0 Tf [(every bounded operator from $X$ to $Y$ factors through a Hilbert space, in particular when the )] TJ ET
BT 34.016 227.273 Td /F1 12.0 Tf [(operators are defined on a Banach lattice, a $C^*$-algebra or the disc algebra and $H^\\infty$. He )] TJ ET
BT 34.016 212.621 Td /F1 12.0 Tf [(reviews the six problems posed at the end of Grothendieck's paper, which have now all been )] TJ ET
BT 34.016 197.969 Td /F1 12.0 Tf [(solved \(except perhaps the exact value of Grothendieck's constant\), and includes the various )] TJ ET
BT 34.016 183.317 Td /F1 12.0 Tf [(results which led to their solution. The last chapter contains the author's construction of several )] TJ ET
BT 34.016 168.665 Td /F1 12.0 Tf [(Banach spaces such that the injective and projective tensor products coincide; this gives a )] TJ ET
BT 34.016 154.013 Td /F1 12.0 Tf [(negative solution to Grothendieck's sixth problem.Although the book is aimed at mathematicians )] TJ ET
BT 34.016 139.361 Td /F1 12.0 Tf [(working in functional analysis, harmonic analysis and operator algebras, its detailed and self-)] TJ ET
BT 34.016 124.709 Td /F1 12.0 Tf [(contained treatment makes the material accessible to nonspecialists with a grounding in basic )] TJ ET
BT 34.016 110.057 Td /F1 12.0 Tf [(functional analysis. In fact, the author is particularly concerned to develop very recent results in the )] TJ ET
BT 34.016 95.405 Td /F1 12.0 Tf [(geometry of Banach spaces in a form that emphasizes how they may be applied in other fields, )] TJ ET
BT 34.016 80.753 Td /F1 12.0 Tf [(such as harmonic analysis and $C^*$-algebras.)] TJ ET
BT 34.016 66.101 Td /F1 12.0 Tf [(Functional Analysis)] TJ ET
BT 137.384 66.101 Td /F1 12.0 Tf [( Theo Bühler 2018-08-08 It begins in Chapter 1 with an introduction to the )] TJ ET
BT 34.016 51.449 Td /F1 12.0 Tf [(necessary foundations, including the Arzelà–Ascoli theorem, elementary Hilbert space theory, and )] TJ ET
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BT 34.016 373.793 Td /F1 12.0 Tf [(the Baire Category Theorem. Chapter 2 develops the three fundamental principles of functional )] TJ ET
BT 34.016 359.141 Td /F1 12.0 Tf [(analysis \(uniform boundedness, open mapping theorem, Hahn–Banach theorem\) and discusses )] TJ ET
BT 34.016 344.489 Td /F1 12.0 Tf [(reflexive spaces and the James space. Chapter 3 introduces the weak and weak topologies and )] TJ ET
BT 34.016 329.837 Td /F1 12.0 Tf [(includes the theorems of Banach–Alaoglu, Banach–Dieudonné, Eberlein–Šmulyan, )] TJ ET
BT 34.016 315.185 Td /F1 12.0 Tf [(Kre&ibreve;n–Milman, as well as an introduction to topological vector spaces and applications to )] TJ ET
BT 34.016 300.533 Td /F1 12.0 Tf [(ergodic theory. Chapter 4 is devoted to Fredholm theory. It includes an introduction to the dual )] TJ ET
BT 34.016 285.881 Td /F1 12.0 Tf [(operator and to compact operators, and it establishes the closed image theorem. Chapter 5 deals )] TJ ET
BT 34.016 271.229 Td /F1 12.0 Tf [(with the spectral theory of bounded linear operators. It introduces complex Banach and Hilbert )] TJ ET
BT 34.016 256.577 Td /F1 12.0 Tf [(spaces, the continuous functional calculus for self-adjoint and normal operators, the Gelfand )] TJ ET
BT 34.016 241.925 Td /F1 12.0 Tf [(spectrum, spectral measures, cyclic vectors, and the spectral theorem. Chapter 6 introduces )] TJ ET
BT 34.016 227.273 Td /F1 12.0 Tf [(unbounded operators and their duals. It establishes the closed image theorem in this setting and )] TJ ET
BT 34.016 212.621 Td /F1 12.0 Tf [(extends the functional calculus and spectral measure to unbounded self-adjoint operators on )] TJ ET
BT 34.016 197.969 Td /F1 12.0 Tf [(Hilbert spaces. Chapter 7 gives an introduction to strongly continuous semigroups and their )] TJ ET
BT 34.016 183.317 Td /F1 12.0 Tf [(infinitesimal generators. It includes foundational results about the dual semigroup and analytic )] TJ ET
BT 34.016 168.665 Td /F1 12.0 Tf [(semigroups, an exposition of measurable functions with values in a Banach space, and a )] TJ ET
BT 34.016 154.013 Td /F1 12.0 Tf [(discussion of solutions to the inhomogeneous equation and their regularity properties. The )] TJ ET
BT 34.016 139.361 Td /F1 12.0 Tf [(appendix establishes the equivalence of the Lemma of Zorn and the Axiom of Choice, and it )] TJ ET
BT 34.016 124.709 Td /F1 12.0 Tf [(contains a proof of Tychonoff's theorem. With 10 to 20 elaborate exercises at the end of each )] TJ ET
BT 34.016 110.057 Td /F1 12.0 Tf [(chapter, this book can be used as a text for a one-or-two-semester course on functional analysis )] TJ ET
BT 34.016 95.405 Td /F1 12.0 Tf [(for beginning graduate students. Prerequisites are first-year analysis and linear algebra, as well as )] TJ ET
BT 34.016 80.753 Td /F1 12.0 Tf [(some foundational material from the second-year courses on point set topology, complex analysis )] TJ ET
BT 34.016 66.101 Td /F1 12.0 Tf [(in one variable, and measure and integration.)] TJ ET
BT 34.016 51.449 Td /F1 12.0 Tf [(The Fixed Point Index and Some Applications)] TJ ET
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BT 34.016 373.793 Td /F1 12.0 Tf [(Roger D. Nussbaum 1985 )] TJ ET
BT 34.016 359.141 Td /F1 12.0 Tf [(Topology, Geometry, and Dynamics: V. A. Rokhlin-Memorial)] TJ ET
BT 354.776 359.141 Td /F1 12.0 Tf [( Anatoly M. Vershik 2021-08-30 )] TJ ET
BT 34.016 344.489 Td /F1 12.0 Tf [(Vladimir Abramovich Rokhlin \(8/23/1919–12/03/1984\) was one of the leading Russian )] TJ ET
BT 34.016 329.837 Td /F1 12.0 Tf [(mathematicians of the second part of the twentieth century. His main achievements were in )] TJ ET
BT 34.016 315.185 Td /F1 12.0 Tf [(algebraic topology, real algebraic geometry, and ergodic theory. The volume contains the )] TJ ET
BT 34.016 300.533 Td /F1 12.0 Tf [(proceedings of the Conference on Topology, Geometry, and Dynamics: V. A. Rokhlin-100, held )] TJ ET
BT 34.016 285.881 Td /F1 12.0 Tf [(from August 19–23, 2019, at The Euler International Mathematics Institute and the Steklov )] TJ ET
BT 34.016 271.229 Td /F1 12.0 Tf [(Institute of Mathematics, St. Petersburg, Russia. The articles deal with topology of manifolds, )] TJ ET
BT 34.016 256.577 Td /F1 12.0 Tf [(theory of cobordisms, knot theory, geometry of real algebraic manifolds and dynamical systems )] TJ ET
BT 34.016 241.925 Td /F1 12.0 Tf [(and related topics. The book also contains Rokhlin's biography supplemented with copies of actual )] TJ ET
BT 34.016 227.273 Td /F1 12.0 Tf [(very interesting documents.)] TJ ET
BT 34.016 212.621 Td /F1 12.0 Tf [(Quantitative Stochastic Homogenization and Large-Scale Regularity)] TJ ET
BT 395.504 212.621 Td /F1 12.0 Tf [( Scott Armstrong 2019-05-09 )] TJ ET
BT 34.016 197.969 Td /F1 12.0 Tf [(The focus of this book is the large-scale statistical behavior of solutions of divergence-form elliptic )] TJ ET
BT 34.016 183.317 Td /F1 12.0 Tf [(equations with random coefficients, which is closely related to the long-time asymptotics of )] TJ ET
BT 34.016 168.665 Td /F1 12.0 Tf [(reversible diffusions in random media and other basic models of statistical physics. Of particular )] TJ ET
BT 34.016 154.013 Td /F1 12.0 Tf [(interest is the quantification of the rate at which solutions converge to those of the limiting, )] TJ ET
BT 34.016 139.361 Td /F1 12.0 Tf [(homogenized equation in the regime of large scale separation, and the description of their )] TJ ET
BT 34.016 124.709 Td /F1 12.0 Tf [(fluctuations around this limit. This self-contained presentation gives a complete account of the )] TJ ET
BT 34.016 110.057 Td /F1 12.0 Tf [(essential ideas and fundamental results of this new theory of quantitative stochastic )] TJ ET
BT 34.016 95.405 Td /F1 12.0 Tf [(homogenization, including the latest research on the topic, and is supplemented with many new )] TJ ET
BT 34.016 80.753 Td /F1 12.0 Tf [(results. The book serves as an introduction to the subject for advanced graduate students and )] TJ ET
BT 34.016 66.101 Td /F1 12.0 Tf [(researchers working in partial differential equations, statistical physics, probability and related )] TJ ET
BT 34.016 51.449 Td /F1 12.0 Tf [(fields, as well as a comprehensive reference for experts in homogenization. Being the first text )] TJ ET
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BT 34.016 373.793 Td /F1 12.0 Tf [(concerned primarily with stochastic \(as opposed to periodic\) homogenization and which focuses )] TJ ET
BT 34.016 359.141 Td /F1 12.0 Tf [(on quantitative results, its perspective and approach are entirely different from other books in the )] TJ ET
BT 34.016 344.489 Td /F1 12.0 Tf [(literature.)] TJ ET
BT 36.266 305.094 Td /F1 8.0 Tf [(local-theory-of-banach-spaces-nyu-courant)] TJ ET
BT 320.238 305.301 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 385.150 305.094 Td /F1 8.0 Tf [(equityoffice.com)] TJ ET
BT 442.950 305.301 Td /F1 8.0 Tf [( on November 26, 2022 by guest)] TJ ET
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