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Integration and Harmonic Analysis on Compact Groups

Integration and Harmonic Analysis on Compact Groups

Paperback

Series: London Mathematical Society Lecture Note, Book 8

AlgebraGeneral Mathematics

ISBN10: 0521097177
ISBN13: 9780521097178
Publisher: Cambridge University Press
Published: Sep 7 1972
Pages: 192
Weight: 0.64
Height: 0.44 Width: 6.00 Depth: 9.00
Language: English
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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General Mathematics