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  1. Home
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  3. Integration and Harmonic Analysis on Compact Groups
  • Cited by 13
Publisher:
Cambridge University Press
Online publication date:
March 2010
Print publication year:
1972
Online ISBN:
9780511662232
DOI:
https://doi.org/10.1017/CBO9780511662232
Subjects:
Mathematics (general), Mathematics, Abstract Analysis
Series:
London Mathematical Society Lecture Note Series (8)
Information

Book description

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.

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