Integration and Harmonic Analysis on Compact Groups / R. E. Edwards.
Material type:
TextSeries: London Mathematical Society Lecture Note Series ; no. 8Publisher: Cambridge : Cambridge University Press, 1972Description: 1 online resource (192 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511662232 (ebook)Other title: Integration & Harmonic Analysis on Compact GroupsSubject(s): Topological groups | Harmonic analysis | Integrals, generalizedAdditional physical formats: Print version: : No titleDDC classification: 512/.2 LOC classification: QA387 | .E38 1972Online resources: Click here to access online 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.
E-BOOKS
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK12200 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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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