UID:
almafu_9959239116402883
Format:
1 online resource (vi, 184 pages) :
,
digital, PDF file(s).
ISBN:
1-139-88359-3
,
1-107-36569-4
,
1-107-37043-4
,
1-107-36078-1
,
1-107-36913-4
,
1-299-40351-4
,
1-107-36323-3
,
0-511-66223-8
Series Statement:
London Mathematical Society lecture note series ; 8
Content:
These notes provide a reasonably self-contained introductory survey of certain aspects of harmonic analysis on compact groups. The first part of the book seeks to give a brief account of integration theory on compact Hausdorff spaces. The second, larger part starts from the existence and essential uniqueness of an invariant integral on every compact Hausdorff group. Topics subsequently outlined include representations, the Peter-Weyl theory, positive definite functions, summability and convergence, spans of translates, closed ideals and invariant subspaces, spectral synthesis problems, the Hausdorff-Young theorem, and lacunarity.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
,
pt. 1. Integration and the Riesz representation theorem -- pt. 2. Harmonic analysis on compact groups.
,
English
Additional Edition:
ISBN 0-521-09717-7
Language:
English