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Author: David R. Adams
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 372
ISBN-13: 3662032821
DOWNLOAD EBOOK"..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society
Author: Raymond Cheng
Publisher: American Mathematical Soc.
Published: 2020-05-28
Total Pages: 219
ISBN-13: 1470455935
DOWNLOAD EBOOKThe classical ℓp sequence spaces have been a mainstay in Banach spaces. This book reviews some of the foundational results in this area (the basic inequalities, duality, convexity, geometry) as well as connects them to the function theory (boundary growth conditions, zero sets, extremal functions, multipliers, operator theory) of the associated spaces ℓpA of analytic functions whose Taylor coefficients belong to ℓp. Relations between the Banach space ℓp and its associated function space are uncovered using tools from Banach space geometry, including Birkhoff-James orthogonality and the resulting Pythagorean inequalities. The authors survey the literature on all of this material, including a discussion of the multipliers of ℓpA and a discussion of the Wiener algebra ℓ1A. Except for some basic measure theory, functional analysis, and complex analysis, which the reader is expected to know, the material in this book is self-contained and detailed proofs of nearly all the results are given. Each chapter concludes with some end notes that give proper references, historical background, and avenues for further exploration.
Author: Yutaka Yamamoto
Publisher: SIAM
Published: 2012-10-31
Total Pages: 270
ISBN-13: 1611972302
DOWNLOAD EBOOKA guide to analytic methods in applied mathematics from the perspective of functional analysis, suitable for scientists, engineers and students.
Author: Denis Bosq
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 295
ISBN-13: 1461211549
DOWNLOAD EBOOKThe main subject of this book is the estimation and forecasting of continuous time processes. It leads to a development of the theory of linear processes in function spaces. Mathematical tools are presented, as well as autoregressive processes in Hilbert and Banach spaces and general linear processes and statistical prediction. Implementation and numerical applications are also covered. The book assumes knowledge of classical probability theory and statistics.
Author: Jim Agler
Publisher: American Mathematical Society
Published: 2023-02-22
Total Pages: 330
ISBN-13: 1470468557
DOWNLOAD EBOOKThe book first rigorously develops the theory of reproducing kernel Hilbert spaces. The authors then discuss the Pick problem of finding the function of smallest $H^infty$ norm that has specified values at a finite number of points in the disk. Their viewpoint is to consider $H^infty$ as the multiplier algebra of the Hardy space and to use Hilbert space techniques to solve the problem. This approach generalizes to a wide collection of spaces. The authors then consider the interpolation problem in the space of bounded analytic functions on the bidisk and give a complete description of the solution. They then consider very general interpolation problems. The book includes developments of all the theory that is needed, including operator model theory, the Arveson extension theorem, and the hereditary functional calculus.
Author: Hans Triebel
Publisher: Springer Science & Business Media
Published: 2010-05-18
Total Pages: 376
ISBN-13: 303460419X
DOWNLOAD EBOOKAuthor: Steven George Krantz
Publisher: American Mathematical Soc.
Published: 1993-01-01
Total Pages: 224
ISBN-13: 9780821889251
DOWNLOAD EBOOKThis book brings into focus the synergistic interaction between analysis and geometry by examining a variety of topics in function theory, real analysis, harmonic analysis, several complex variables, and group actions. Krantz's approach is motivated by examples, both classical and modern, which highlight the symbiotic relationship between analysis and geometry. Creating a synthesis among a host of different topics, this book is useful to researchers in geometry and analysis and may be of interest to physicists, astronomers, and engineers in certain areas. The book is based on lectures presented at an NSF-CBMS Regional Conference held in May 1992.
Author: Hans Triebel
Publisher: Springer Nature
Published: 2020-01-23
Total Pages: 160
ISBN-13: 3030358917
DOWNLOAD EBOOKThis book is the continuation of the "Theory of Function Spaces" trilogy, published by the same author in this series and now part of classic literature in the area of function spaces. It can be regarded as a supplement to these volumes and as an accompanying book to the textbook by D.D. Haroske and the author "Distributions, Sobolev spaces, elliptic equations".
Author: Luboš Pick
Publisher: Walter de Gruyter
Published: 2012-12-19
Total Pages: 495
ISBN-13: 311025042X
DOWNLOAD EBOOKThis is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Oldřich John, and Svatopluk Fučík. Like the first edition this monograph is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces in their research or lecture courses. This first volume is devoted to the study of function spaces, based on intrinsic properties of a function such as its size, continuity, smoothness, various forms of a control over the mean oscillation, and so on. The second volume will be dedicated to the study of function spaces of Sobolev type, in which the key notion is the weak derivative of a function of several variables.
Author: Amol Sasane
Publisher: Courier Dover Publications
Published: 2016-03-15
Total Pages: 260
ISBN-13: 0486789454
DOWNLOAD EBOOKClassroom-tested at the London School of Economics, this original, highly readable text offers numerous examples and exercises as well as detailed solutions. Prerequisites are multivariable calculus and basic linear algebra. 2015 edition.
