| Description |
1 online resource (vi, 184 pages) |
| Series |
London Mathematical Society. Lecture note series ; 8 |
|
London Mathematical Society lecture note series ; 8.
|
| Contents |
pt. 1. Integration and the Riesz representation theorem -- pt. 2. Harmonic analysis on compact groups |
| Summary |
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 |
| Bibliography |
Includes bibliographical references (pages 179-184) |
| Notes |
Print version record |
| Subject |
Topological groups.
|
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Harmonic analysis.
|
|
Integrals, Generalized.
|
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Fourier Analysis
|
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MATHEMATICS -- Group Theory.
|
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Harmonic analysis
|
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Integrals, Generalized
|
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Topological groups
|
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Harmonische Analyse
|
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Integration Mathematik
|
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Integration
|
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Kompakte Gruppe
|
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Topologische groepen.
|
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Harmonische analyse.
|
|
Lie-groepen.
|
| Form |
Electronic book
|
| ISBN |
9781107360785 |
|
1107360781 |
|
9780511662232 |
|
0511662238 |
|
