Integration and Harmonic Analysis on Compact Groups
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| Title: | Integration and Harmonic Analysis on Compact Groups |
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| 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. |
| Authors: | R. E. Edwards |
| Resource Type: | eBook. |
| Subjects: | Integrals, Generalized, Topological groups, Harmonic analysis |
| Categories: | MATHEMATICS / Group Theory |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | 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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| ISBN: | 9780521097178 9781107360785 |
