Harmonic Analysis On Homogeneous Spaces


Harmonic Analysis On Homogeneous Spaces
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Topics In Harmonic Analysis On Homogeneous Spaces


Topics In Harmonic Analysis On Homogeneous Spaces
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Author : Sigurdur Helgason
language : en
Publisher: Birkhauser
Release Date : 1981

Topics In Harmonic Analysis On Homogeneous Spaces written by Sigurdur Helgason and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.




Harmonic Analysis On Homogeneous Spaces


Harmonic Analysis On Homogeneous Spaces
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Author : Calvin C. Moore
language : en
Publisher: American Mathematical Society(RI)
Release Date : 1973

Harmonic Analysis On Homogeneous Spaces written by Calvin C. Moore and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.




Harmonic Analysis On Homogeneous Spaces Edited By Calvin C Moore


Harmonic Analysis On Homogeneous Spaces Edited By Calvin C Moore
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Author : Symposium in Pure Mathematics, Williams College, 1972
language : en
Publisher:
Release Date : 1973

Harmonic Analysis On Homogeneous Spaces Edited By Calvin C Moore written by Symposium in Pure Mathematics, Williams College, 1972 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Functions, Special categories.




Harmonic Analysis On Homogeneous Spaces Of Soo 1 2


Harmonic Analysis On Homogeneous Spaces Of Soo 1 2
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Author : Ĭ. A. Verdiev
language : en
Publisher:
Release Date : 1988

Harmonic Analysis On Homogeneous Spaces Of Soo 1 2 written by Ĭ. A. Verdiev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.




Harmonic Analysis On Spaces Of Homogeneous Type


Harmonic Analysis On Spaces Of Homogeneous Type
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Author : Donggao Deng
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-19

Harmonic Analysis On Spaces Of Homogeneous Type written by Donggao Deng 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 2008-11-19 with Mathematics categories.


This book could have been entitled “Analysis and Geometry.” The authors are addressing the following issue: Is it possible to perform some harmonic analysis on a set? Harmonic analysis on groups has a long tradition. Here we are given a metric set X with a (positive) Borel measure ? and we would like to construct some algorithms which in the classical setting rely on the Fourier transformation. Needless to say, the Fourier transformation does not exist on an arbitrary metric set. This endeavor is not a revolution. It is a continuation of a line of research whichwasinitiated,acenturyago,withtwofundamentalpapersthatIwould like to discuss brie?y. The ?rst paper is the doctoral dissertation of Alfred Haar, which was submitted at to University of Gottingen ̈ in July 1907. At that time it was known that the Fourier series expansion of a continuous function may diverge at a given point. Haar wanted to know if this phenomenon happens for every 2 orthonormal basis of L [0,1]. He answered this question by constructing an orthonormal basis (today known as the Haar basis) with the property that the expansion (in this basis) of any continuous function uniformly converges to that function.



Harmonic Analysis On Homogeneous Spaces


Harmonic Analysis On Homogeneous Spaces
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Author : Nolan R. Wallach
language : en
Publisher:
Release Date : 1973

Harmonic Analysis On Homogeneous Spaces written by Nolan R. Wallach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Analyse harmonique categories.




Harmonic Analysis On Homogeneous Spaces


Harmonic Analysis On Homogeneous Spaces
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Author : Nolan R. Wallach
language : en
Publisher: Courier Dover Publications
Release Date : 2018-12-12

Harmonic Analysis On Homogeneous Spaces written by Nolan R. Wallach and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-12 with Mathematics categories.


This book is suitable for advanced undergraduate and graduate students in mathematics with a strong background in linear algebra and advanced calculus. Early chapters develop representation theory of compact Lie groups with applications to topology, geometry, and analysis, including the Peter-Weyl theorem, the theorem of the highest weight, the character theory, invariant differential operators on homogeneous vector bundles, and Bott's index theorem for such operators. Later chapters study the structure of representation theory and analysis of non-compact semi-simple Lie groups, including the principal series, intertwining operators, asymptotics of matrix coefficients, and an important special case of the Plancherel theorem. Teachers will find this volume useful as either a main text or a supplement to standard one-year courses in Lie groups and Lie algebras. The treatment advances from fairly simple topics to more complex subjects, and exercises appear at the end of each chapter. Eight helpful Appendixes develop aspects of differential geometry, Lie theory, and functional analysis employed in the main text.



Geometric And Harmonic Analysis On Homogeneous Spaces And Applications


Geometric And Harmonic Analysis On Homogeneous Spaces And Applications
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Author : Ali Baklouti
language : en
Publisher: Springer Nature
Release Date : 2021-10-29

Geometric And Harmonic Analysis On Homogeneous Spaces And Applications written by Ali Baklouti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-29 with Mathematics categories.


This book collects a series of important works on noncommutative harmonic analysis on homogeneous spaces and related topics. All the authors participated in the 6th Tunisian-Japanese conference "Geometric and Harmonic Analysis on homogeneous spaces and Applications" held at Djerba Island in Tunisia during the period of December 16-19, 2019. The aim of this conference and the five preceding Tunisian-Japanese meetings was to keep up with the active development of representation theory interrelated with various other mathematical fields, such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations, and mathematical physics. The present volume is dedicated to the memory of Takaaki Nomura, who organized the series of Tunisian-Japanese conferences with great effort and enthusiasm. The book is a valuable resource for researchers and students working in various areas of analysis, geometry, and algebra in connection with representation theory.



Geometric And Harmonic Analysis On Homogeneous Spaces


Geometric And Harmonic Analysis On Homogeneous Spaces
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Author : Ali Baklouti
language : en
Publisher: Springer Nature
Release Date : 2019-08-31

Geometric And Harmonic Analysis On Homogeneous Spaces written by Ali Baklouti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-31 with Mathematics categories.


This book presents a number of important contributions focusing on harmonic analysis and representation theory of Lie groups. All were originally presented at the 5th Tunisian–Japanese conference “Geometric and Harmonic Analysis on Homogeneous Spaces and Applications”, which was held at Mahdia in Tunisia from 17 to 21 December 2017 and was dedicated to the memory of the brilliant Tunisian mathematician Majdi Ben Halima. The peer-reviewed contributions selected for publication have been modified and are, without exception, of a standard equivalent to that in leading mathematical periodicals. Highlighting the close links between group representation theory and harmonic analysis on homogeneous spaces and numerous mathematical areas, such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations and mathematical physics, the book is intended for researchers and students working in the area of commutative and non-commutative harmonic analysis as well as group representations.



Harmonic Analysis On Homogeneous Spaces


Harmonic Analysis On Homogeneous Spaces
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Author :
language : en
Publisher:
Release Date : 1973

Harmonic Analysis On Homogeneous 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 1973 with categories.