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Author: Guido Weiss
Publisher: American Mathematical Soc.
Published: 1979
Total Pages: 448
ISBN-13: 0821814389
DOWNLOAD EBOOK →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.
Author: Elias M. Stein
Publisher: Princeton University Press
Published: 2016-06-02
Total Pages: 312
ISBN-13: 140088389X
DOWNLOAD EBOOK →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.
Author: Elias M. Stein
Publisher: Princeton University Press
Published: 1971-11-21
Total Pages: 309
ISBN-13: 069108078X
DOWNLOAD EBOOK →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.
Author: Guido L. Weiss
Publisher: American Mathematical Soc.
Published: 1979-12-31
Total Pages: 492
ISBN-13: 9780821867945
DOWNLOAD EBOOK →Contains sections on Real harmonic analysis, Hardy spaces and BMO,Harmonic functions, potential theory and theory of functions of one complex variable
Author: Elias M. Stein
Publisher:
Published: 2016
Total Pages: 310
ISBN-13:
DOWNLOAD EBOOK →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.
Author: Kenneth Hoffman
Publisher: Courier Dover Publications
Published: 2019-07-17
Total Pages: 449
ISBN-13: 0486841413
DOWNLOAD EBOOK →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.
Author: Isaac Pesenson
Publisher: Birkhäuser
Published: 2017-08-09
Total Pages: 510
ISBN-13: 3319555561
DOWNLOAD EBOOK →The second of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science. The chapters within cover an impressive range of ideas from both traditional and modern harmonic analysis, such as: the Fourier transform, Shannon sampling, frames, wavelets, functions on Euclidean spaces, analysis on function spaces of Riemannian and sub-Riemannian manifolds, Fourier analysis on manifolds and Lie groups, analysis on combinatorial graphs, sheaves, co-sheaves, and persistent homologies on topological spaces. Volume II is organized around the theme of recent applications of harmonic analysis to function spaces, differential equations, and data science, covering topics such as: The classical Fourier transform, the non-linear Fourier transform (FBI transform), cardinal sampling series and translation invariant linear systems. Recent results concerning harmonic analysis on non-Euclidean spaces such as graphs and partially ordered sets. Applications of harmonic analysis to data science and statistics Boundary-value problems for PDE's including the Runge–Walsh theorem for the oblique derivative problem of physical geodesy.
