Integration and Harmonic Analysis on Compact Groups
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| Title: | Integration and Harmonic Analysis on Compact Groups |
|---|---|
| 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) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Integration and Harmonic Analysis on Compact Groups – Name: Abstract Label: Description Group: Ab Data: 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. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22R%2E+E%2E+Edwards%22">R. E. Edwards</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Integrals%2C+Generalized%22">Integrals, Generalized</searchLink><br /><searchLink fieldCode="DE" term="%22Topological+groups%22">Topological groups</searchLink><br /><searchLink fieldCode="DE" term="%22Harmonic+analysis%22">Harmonic analysis</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Group+Theory%22">MATHEMATICS / Group Theory</searchLink> |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 512.2 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Integrals, Generalized Type: general – SubjectFull: Topological groups Type: general – SubjectFull: Harmonic analysis Type: general Titles: – TitleFull: Integration and Harmonic Analysis on Compact Groups Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: R. E. Edwards – PersonEntity: Name: NameFull: R. E. Edwards IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 1972 – D: 04 M: 02 Type: profile Y: 2014 Identifiers: – Type: isbn-print Value: 9780521097178 – Type: isbn-electronic Value: 9781107360785 Numbering: – Type: volume Value: 00008 Titles: – TitleFull: Integration and Harmonic Analysis on Compact Groups Type: main |
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