Integration and Harmonic Analysis on Compact Groups
By (author) R. E. Edwards
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Integration and Harmonic Analysis on Compact Groups by R. E. Edwards
Book DescriptionThese 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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Book DetailsISBN: 9780521097178
(229mm x 152mm x 11mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 7-Sep-1972
Country of Publication: United Kingdom
Books By Author R. E. Edwards
Functional Analysis, Paperback (November 1994)» View all books by R. E. Edwards
Massive compilation offers detailed, in-depth discussions of vector spaces, Hahn-Banach theorem, fixed-point theorems, duality theory, Krein-Milman theorem, theory of compact operators, much more. Many examples and exercises. 32-page bibliography. 1965 edition.
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