Harmonic Analysis on Commutative Spaces
Joseph A. Wolf
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 classification of weakly symmetric spaces and of Gelfand pairs.
Категории:
Год:
2007
Издательство:
American Mathematical Society
Язык:
english
ISBN 10:
0821842897
ISBN 13:
9780821842898
Серия:
Mathematical Surveys and Monographs, 142
Файл:
PDF, 23.37 MB
IPFS:
,
english, 2007