Harmonic Analysis on Commutative Spaces

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Harmonic Analysis on Commutative Spaces
Автор
 
Год
 
Страниц
 
xv+387
ISBN
 
ISBN10:0821842897;ISBN13:9780821842898
Издатель
 
American Mathematical Society
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Описание:

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.

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