Author: Guido WeissPublisher: American Mathematical Soc.
ISBN: 0821814362
Category : Generalized spaces
Languages : en
Pages : 488
Book Description
Harmonic Analysis in Euclidean Spaces, Part 1
Author: Guido WeissPublisher: American Mathematical Soc.
ISBN: 0821814362
Category : Generalized spaces
Languages : en
Pages : 488
Book Description
Harmonic Analysis in Euclidean Spaces
Author: Guido WeissIntroduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32
Author: Elias M. SteinPublisher: Princeton University Press
ISBN: 140088389X
Category : Mathematics
Languages : en
Pages : 312
Book Description
The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces.
Harmonic Analysis in Euclidean Spaces, Part 2
Author: Guido WeissPublisher: American Mathematical Soc.
ISBN: 0821814389
Category : Mathematics
Languages : en
Pages : 448
Book Description
Contains sections on Several complex variables, Pseudo differential operators and partial differential equations, Harmonic analysis in other settings: probability, martingales, local fields, and Lie groups and functional analysis.
Analysis in Euclidean Space
Author: Kenneth HoffmanPublisher: Courier Dover Publications
ISBN: 0486833658
Category : Mathematics
Languages : en
Pages : 449
Book Description
Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory. Starting with an overview of the real number system, the text presents results for subsets and functions related to Euclidean space of n dimensions. It offers a rigorous review of the fundamentals of calculus, emphasizing power series expansions and introducing the theory of complex-analytic functions. Subsequent chapters cover sequences of functions, normed linear spaces, and the Lebesgue interval. They discuss most of the basic properties of integral and measure, including a brief look at orthogonal expansions. A chapter on differentiable mappings addresses implicit and inverse function theorems and the change of variable theorem. Exercises appear throughout the book, and extensive supplementary material includes a Bibliography, List of Symbols, Index, and an Appendix with background in elementary set theory.
Harmonic Analysis in Euclidean Spaces
Author: Guido L. WeissPublisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages :
Book Description
Classical Fourier Analysis
Author: Loukas GrafakosPublisher: Springer Science & Business Media
ISBN: 0387094326
Category : Mathematics
Languages : en
Pages : 494
Book Description
The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...). From a review of the first edition: “Grafakos’s book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Morever, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.” - Ken Ross, MAA Online
Hardy Spaces on the Euclidean Space
Author: Akihito UchiyamaPublisher: Springer Science & Business Media
ISBN: 9784431703198
Category : Mathematics
Languages : en
Pages : 328
Book Description
Uchiyama's decomposition of BMO functions is considered the "Mount Everest of Hardy space theory". This book is based on the draft, which the author completed before his sudden death in 1997. Nowadays, his contributions are extremely influential in various fields of analysis, leading to further breakthroughs.
Classical and Multilinear Harmonic Analysis
Author: Camil MuscaluPublisher: Cambridge University Press
ISBN: 1107031826
Category : Mathematics
Languages : en
Pages : 341
Book Description
This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.
Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32
Author: Elias M. SteinPublisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 310
Book Description
The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces.