Harmonic Analysis In Euclidean Spaces Part 1
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Harmonic Analysis In Euclidean Spaces Part 1
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Author : Guido Weiss
language : en
Publisher: American Mathematical Soc.
Release Date : 1979
Harmonic Analysis In Euclidean Spaces Part 1 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 with Generalized spaces categories.
Harmonic Analysis In Euclidean Spaces
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Author :
language : en
Publisher:
Release Date : 1979
Harmonic Analysis In Euclidean Spaces written by 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 In Euclidean Spaces Part 2
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Author : Guido Weiss
language : en
Publisher: American Mathematical Soc.
Release Date : 1979
Harmonic Analysis In Euclidean Spaces Part 2 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 with Mathematics categories.
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.
Harmonic Analysis In Euclidean Spaces
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Author : Guido L. Weiss
language : en
Publisher:
Release Date : 1979
Harmonic Analysis In Euclidean Spaces written by Guido L. 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 Generalized spaces categories.
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.
Introduction To Fourier Analysis On Euclidean Spaces
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Author : Elias M. Stein
language : en
Publisher: Princeton University Press
Release Date : 2016-06-02
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 2016-06-02 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 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.
Beijing Lectures In Harmonic Analysis Am 112 Volume 112
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Author : Elias M. Stein
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Beijing Lectures In Harmonic Analysis Am 112 Volume 112 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 2016-03-02 with Mathematics categories.
Based on seven lecture series given by leading experts at a summer school at Peking University, in Beijing, in 1984. this book surveys recent developments in the areas of harmonic analysis most closely related to the theory of singular integrals, real-variable methods, and applications to several complex variables and partial differential equations. The different lecture series are closely interrelated; each contains a substantial amount of background material, as well as new results not previously published. The contributors to the volume are R. R. Coifman and Yves Meyer, Robert Fcfferman, Carlos K. Kenig, Steven G. Krantz, Alexander Nagel, E. M. Stein, and Stephen Wainger.
Suprematism In Harmonic Analysis
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Author : Antonio Córdoba
language : en
Publisher: Springer Nature
Release Date : 2024-11-08
Suprematism In Harmonic Analysis written by Antonio Córdoba and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-08 with Mathematics categories.
This award-winning monograph explores advanced topics in harmonic analysis, addressing both classical and contemporary problems. Several connections to number theory, crystallography or atomic theory are also surveyed. The term “suprematism” refers to a certain geometric point of view underlying proofs and arguments. The opening of the book is dedicated to a few results, with short statements and proofs, that could be called “mathematical haikus”. Then, in the first part of the book, singular integrals beyond the classical Calderón-Zygmund theory, such as Vitali-type covering lemmas and estimates for the corresponding maximal operators, are explored. The exponential overlapping of parallelepipeds, the strong maximal function, and Zygmund's conjecture about monotonic bases are also covered. The core of this part is devoted to the Kakeya maximal function and its relation to the spherical summation of Fourier series and integrals. The two-dimensional case is well understood, but the case of higher dimensions still presents many open problems and conjectures. The chapters in the second part of the book treat questions at the interface of harmonic analysis and number theory, including applications of the Poisson summation formula to crystallography and arithmetic, estimates of the Minkowski dimension of Riemann graphs, random lattice point problems, and the role of Weyl sums in atomic energy oscillations. With a focus on rigorous research insights for graduate students and researchers in mathematics, this book provides a comprehensive journey through the hidden landscapes of harmonic analysis.
Harmonic Analysis
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Author : Barry Simon
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-11-02
Harmonic Analysis written by Barry Simon 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 2015-11-02 with Mathematics categories.
A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 3 returns to the themes of Part 1 by discussing pointwise limits (going beyond the usual focus on the Hardy-Littlewood maximal function by including ergodic theorems and martingale convergence), harmonic functions and potential theory, frames and wavelets, spaces (including bounded mean oscillation (BMO)) and, in the final chapter, lots of inequalities, including Sobolev spaces, Calderon-Zygmund estimates, and hypercontractive semigroups.