Integration and harmonic analysis on compact groups /:
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 u...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [England] :
University Press,
1972.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
8. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (vi, 184 pages) |
| Bibliographie: | Includes bibliographical references (pages 179-184). |
| ISBN: | 9781107360785 1107360781 9780511662232 0511662238 |
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| 520 | |a 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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| contents | pt. 1. Integration and the Riesz representation theorem -- pt. 2. Harmonic analysis on compact groups. |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:17Z |
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| spelling | Edwards, R. E. (Robert E.), 1926- http://id.loc.gov/authorities/names/n79055832 Integration and harmonic analysis on compact groups / R.E. Edwards. Cambridge [England] : University Press, 1972. 1 online resource (vi, 184 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society. Lecture note series ; 8 Includes bibliographical references (pages 179-184). Print version record. pt. 1. Integration and the Riesz representation theorem -- pt. 2. Harmonic analysis on compact groups. 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. Topological groups. http://id.loc.gov/authorities/subjects/sh85136082 Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Integrals, Generalized. http://id.loc.gov/authorities/subjects/sh85067106 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Groupes topologiques. Harmonique, Analyse. Intégrales généralisées. Analyse harmonique. MATHEMATICS Group Theory. bisacsh Harmonic analysis fast Integrals, Generalized fast Topological groups fast Harmonische Analyse gnd http://d-nb.info/gnd/4023453-8 Integration Mathematik gnd http://d-nb.info/gnd/4072852-3 Integration gnd Kompakte Gruppe gnd http://d-nb.info/gnd/4164840-7 Topologische groepen. gtt Harmonische analyse. gtt Lie-groepen. gtt Print version: Edwards, R.E. (Robert E.), 1926- Integration and harmonic analysis on compact groups. Cambridge [Eng.] University Press, 1972 0521097177 (DLC) 77190412 (OCoLC)417940 London Mathematical Society lecture note series ; 8. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552457 Volltext |
| spellingShingle | Edwards, R. E. (Robert E.), 1926- Integration and harmonic analysis on compact groups / London Mathematical Society lecture note series ; pt. 1. Integration and the Riesz representation theorem -- pt. 2. Harmonic analysis on compact groups. Topological groups. http://id.loc.gov/authorities/subjects/sh85136082 Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Integrals, Generalized. http://id.loc.gov/authorities/subjects/sh85067106 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Groupes topologiques. Harmonique, Analyse. Intégrales généralisées. Analyse harmonique. MATHEMATICS Group Theory. bisacsh Harmonic analysis fast Integrals, Generalized fast Topological groups fast Harmonische Analyse gnd http://d-nb.info/gnd/4023453-8 Integration Mathematik gnd http://d-nb.info/gnd/4072852-3 Integration gnd Kompakte Gruppe gnd http://d-nb.info/gnd/4164840-7 Topologische groepen. gtt Harmonische analyse. gtt Lie-groepen. gtt |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85136082 http://id.loc.gov/authorities/subjects/sh85058939 http://id.loc.gov/authorities/subjects/sh85067106 https://id.nlm.nih.gov/mesh/D005583 http://d-nb.info/gnd/4023453-8 http://d-nb.info/gnd/4072852-3 http://d-nb.info/gnd/4164840-7 |
| title | Integration and harmonic analysis on compact groups / |
| title_auth | Integration and harmonic analysis on compact groups / |
| title_exact_search | Integration and harmonic analysis on compact groups / |
| title_full | Integration and harmonic analysis on compact groups / R.E. Edwards. |
| title_fullStr | Integration and harmonic analysis on compact groups / R.E. Edwards. |
| title_full_unstemmed | Integration and harmonic analysis on compact groups / R.E. Edwards. |
| title_short | Integration and harmonic analysis on compact groups / |
| title_sort | integration and harmonic analysis on compact groups |
| topic | Topological groups. http://id.loc.gov/authorities/subjects/sh85136082 Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Integrals, Generalized. http://id.loc.gov/authorities/subjects/sh85067106 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Groupes topologiques. Harmonique, Analyse. Intégrales généralisées. Analyse harmonique. MATHEMATICS Group Theory. bisacsh Harmonic analysis fast Integrals, Generalized fast Topological groups fast Harmonische Analyse gnd http://d-nb.info/gnd/4023453-8 Integration Mathematik gnd http://d-nb.info/gnd/4072852-3 Integration gnd Kompakte Gruppe gnd http://d-nb.info/gnd/4164840-7 Topologische groepen. gtt Harmonische analyse. gtt Lie-groepen. gtt |
| topic_facet | Topological groups. Harmonic analysis. Integrals, Generalized. Fourier Analysis Groupes topologiques. Harmonique, Analyse. Intégrales généralisées. Analyse harmonique. MATHEMATICS Group Theory. Harmonic analysis Integrals, Generalized Topological groups Harmonische Analyse Integration Mathematik Integration Kompakte Gruppe Topologische groepen. Harmonische analyse. Lie-groepen. |
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