Integration and Harmonic Analysis on Compact Groups (London Mathematical Society Lecture Note Series 8)

Edwards, R. E.

ISBN 10: 0521097177 / ISBN 13: 9780521097178

Published by Cambridge University Press, 1972

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Bibliographic Details

• Title: Integration and Harmonic Analysis on Compact Groups (London Mathematical Society Lecture Note Series 8)
• Publisher: Cambridge University Press
• Publication Date: 1972
• Language: English
• ISBN 10: 0521097177
• ISBN 13: 9780521097178
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.

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.