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eBook Harmonic Analysis on Commutative Spaces (Mathematical Surveys and Monographs) download
Science
Author: Joseph A. Wolf
ISBN: 0821842897
Subcategory: Mathematics
Pages 387 pages
Publisher American Mathematical Society (July 31, 2007)
Language English
Category: Science
Rating: 4.2
Votes: 186
ePUB size: 1935 kb
FB2 size: 1144 kb
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eBook Harmonic Analysis on Commutative Spaces (Mathematical Surveys and Monographs) download

by Joseph A. Wolf


Электронная книга "Harmonic Analysis on Commutative Spaces", Joseph Albert Wolf

Электронная книга "Harmonic Analysis on Commutative Spaces", Joseph Albert Wolf. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Harmonic Analysis on Commutative Spaces" для чтения в офлайн-режиме.

Mathematical Surveys and Monographs is a series of monographs published by the American Mathematical Society. Each volume in the series gives a survey of the subject along with a brief introduction to recent developments and unsolved problems

Mathematical Surveys and Monographs is a series of monographs published by the American Mathematical Society. Each volume in the series gives a survey of the subject along with a brief introduction to recent developments and unsolved problems. The series has been known as Mathematical Surveys and Monographs since 1984. Its ISSN is 0885-4653. The series was founded in 1943 as 'Mathematical Surveys'. Mathematical Surveys and Monographs.

on Commutative Spaces (Mathematical Surveys and Monographs).

This study starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on geometric structure, harmonic analysis, and unitary representation theory in commutative spaces. Harmonic Analysis on Commutative Spaces (Mathematical Surveys and Monographs). 0821842897 (ISBN13: 9780821842898).

This book starts with the basic theory of topological groups, harmonic analysis, and unitary .

This book starts with the basic theory of topological groups, harmonic analysis, and unitary representations. Those spaces form a simultaneous generalization of compact groups, locally compact abelian groups, and riemannian symmetric spaces.

Mathematical Surveys and Monographs 14. Subsequently the book culminates in a good deal of structure theory.

Mathematical Surveys and Monographs 142. Price: 9. 0. Indeed, Joseph Wolf’s Harmonic Analysis on Commutative Spaces is a splendid source from which to learn this broad and beautiful subject, both for its own sake and with an eye toward application (. to the Langlands program). It is a well-written monograph by an expert in the field and should serve to fill the heretofore un-cast role of a single source for this material.

Wolf, Harmonic Analysis on Commutative Spaces, Mathematical Surveys and Monographs, Vol. 142, American Mathematical Society, Providence, RI, 2007. O. Yakimova, Principal Gelfand pairs, Transform.

Series: Mathematical Surveys and Monographs (Book 39. fair enough) and focuses "on analysis on Riemannian symmetric spaces X G/. Helgason addresses, among other things, "existence and uniqueness theorems for invariant differential equations on X, explicit solution formulas, as.

Harmonic Analysis on Commutative Spaces . Geometric Analysis on Symmetric Spaces (Mathematical Surveys and Monographs).

Harmonic Analysis on Commutative Spaces (Mathematical Surveys and Monographs). Joseph A. Wolf, American Mathematical Society, 2007-07-31, USD 9. Sigurdur Helgason, American Mathematical Society, 2008-12-02, USD 8. Quasiconformal Teichmüller Theory (Mathematical Surveys and Monographs). Frederick P. Gardiner、Nikola Lakic, American Mathematical Society, 2000-01-27, GBP 6. 5.

Joseph Albert Wolf (born October 18, 1936 in Chicago) is an American mathematician. Harmonic analysis on commutative spaces, American Mathematical Society, Mathematical Surveys and Monographs, Vol. 142, 2007. Spherical functions on Euclidean space, J. Funct. He is now professor emeritus at the University of California, Berkeley. volume 239, 2006, pp. 127–136arXiv:math/0509459. With Gregor Fels, Alan Huckleberry Cycle spaces of flag domains: a complex geometric viewpoint, Progress in Mathematics 245, Birkhäuser, 2006. Classification and fourier inversion for parabolic subgroups with square integrable nilradical, Memoirs AMS 225, 1979.

This book starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on geometric structure, harmonic analysis, and unitary representation theory in commutative spaces. Those spaces form a simultaneous generalization of compact groups, locally compact abelian groups, and riemannian symmetric spaces. Their geometry and function theory is an increasingly active topic in mathematical research, and this book brings the reader up to the frontiers of that research area with the recent classifications of weakly symmetric spaces and of Gelfand pairs. Part 1, "General Theory of Topological Groups", is an introduction with many examples, including all of the standard semisimple linear Lie groups and the Heisenberg groups. It presents the construction of Haar measure, the invariant integral, the convolution product, and the Lebesgue spaces. Part 2, "Representation Theory and Compact Groups", provides background at a slightly higher level. Besides the basics, it contains the Mackey Little-Group method and its application to Heisenberg groups, the Peter-Weyl Theorem, Cartan's highest weight theory, the Borel-Weil Theorem, and invariant function algebras. Part 3, "Introduction to Commutative Spaces", describes that area up to its recent resurgence. Spherical functions and associated unitary representations are developed and applied to harmonic analysis on $G/K$ and to uncertainty principles. Part 4, "Structure and Analysis for Commutative Spaces", summarizes riemannian symmetric space theory as a rôle model, and with that orientation delves into recent research on commutative spaces. The results are explicit for spaces $G/K$ of nilpotent or reductive type, and the recent structure and classification theory depends on those cases. Parts 1 and 2 are accessible to first-year graduate students. Part 3 takes a bit of analytic sophistication but generally is accessible to graduate students. Part 4 is intended for mathematicians beginning their research careers as well as mathematicians interested in seeing just how far one can go with this unified view of algebra, geometry, and analysis.