Harmonic Analysis In Euclidean Spaces
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Introduction To Fourier Analysis On Euclidean Spaces
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Author : Elias M. Stein
language : en
Publisher: Princeton University Press
Release Date : 1971-11-21
Introduction To Fourier Analysis On Euclidean Spaces written by Elias M. Stein and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-11-21 with Mathematics categories.
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
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Author : American Mathematical Society
language : en
Publisher: American Mathematical Soc.
Release Date : 1979
Harmonic Analysis In Euclidean Spaces written by American Mathematical Society and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Generalized spaces categories.
Contains sections on Several complex variables, Pseudo differential operators and partial differential equations, Harmonic analysis in other settings: probability, martingales, local fields, Lie groups and functional analysis
Harmonic Analysis In Euclidean Spaces
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Author : Guido L. Weiss
language : en
Publisher: American Mathematical Soc.
Release Date : 1979-12-31
Harmonic Analysis In Euclidean Spaces written by Guido L. Weiss and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-12-31 with Mathematics categories.
Contains sections on Real harmonic analysis, Hardy spaces and BMO,Harmonic functions, potential theory and theory of functions of one complex variable
Harmonic Analysis In Euclidean Spaces
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Author : Guido Weiss
language : en
Publisher: American Mathematical Soc.
Release Date : 1979-12-31
Harmonic Analysis In Euclidean Spaces written by Guido Weiss and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-12-31 with categories.
Contains sections on Several complex variables, Pseudo differential operators and partial differential equations, Harmonic analysis in other settings: probability, martingales, local fields, Lie groups and functional analysis
Harmonic Analysis In Euclidean Spaces
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Author : Guido Weiss
language : en
Publisher:
Release Date : 1979
Harmonic Analysis In Euclidean Spaces written by Guido Weiss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Harmonic Analysis On Symmetric Spaces Euclidean Space The Sphere And The Poincar Upper Half Plane
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Author : Audrey Terras
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-12
Harmonic Analysis On Symmetric Spaces Euclidean Space The Sphere And The Poincar Upper Half Plane written by Audrey Terras and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-12 with Mathematics categories.
This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincaré upper half plane. This book is intended for beginning graduate students in mathematics or researchers in physics or engineering. Written with an informal style, the book places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering. Many corrections and updates have been incorporated in this new edition. Updates include discussions of P. Sarnak and others' work on quantum chaos, the work of T. Sunada, Marie-France Vignéras, Carolyn Gordon, and others on Mark Kac's question "Can you hear the shape of a drum?", A. Lubotzky, R. Phillips and P. Sarnak's examples of Ramanujan graphs, and, finally, the author's comparisons of continuous theory with the finite analogues. Topics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, Poisson's summation formula and applications in crystallography and number theory, applications of spherical harmonic analysis to the hydrogen atom, the Radon transform, non-Euclidean geometry on the Poincaré upper half plane H or unit disc and applications to microwave engineering, fundamental domains in H for discrete groups Γ, tessellations of H from such discrete group actions, automorphic forms, and the Selberg trace formula and its applications in spectral theory as well as number theory.
Introduction To Fourier Analysis On Euclidean Spaces
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Author : Elias M. Stein
language : en
Publisher:
Release Date : 1971
Introduction To Fourier Analysis On Euclidean Spaces written by Elias M. Stein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Fourier analysis categories.
Euclidean Harmonic Analysis
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Author : J. J. Benedetto
language : en
Publisher: Springer
Release Date : 2006-11-15
Euclidean Harmonic Analysis written by J. J. Benedetto and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Recent Applications Of Harmonic Analysis To Function Spaces Differential Equations And Data Science
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Author : Isaac Pesenson
language : en
Publisher: Birkhäuser
Release Date : 2017-08-09
Recent Applications Of Harmonic Analysis To Function Spaces Differential Equations And Data Science written by Isaac Pesenson and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-09 with Mathematics categories.
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.
Harmonic Analysis In Euclidean Spaces
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Author : Guido Weiss
language : en
Publisher:
Release Date : 1983
Harmonic Analysis In Euclidean Spaces written by Guido Weiss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.