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 u...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Edwards, Robert E. 1926- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge Cambridge University Press 1972
Schriftenreihe:	London Mathematical Society lecture note series 8
Schlagworte:	Topological groups Harmonic analysis Integrals, Generalized Integration > Mathematik Kompakte Gruppe Harmonische Analyse Integration
Online-Zugang:	BSB01 FHN01 Volltext
Zusammenfassung:	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
Beschreibung:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Beschreibung:	1 online resource (vi, 184 pages)
ISBN:	9780511662232
DOI:	10.1017/CBO9780511662232