Abstract Harmonic Analysis: Volume I Structure of Topological Groups Integration Theory Group Representations
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1979
|
| Ausgabe: | Second Edition |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | When we acce pted th ekindinvitationof Prof. Dr. F. K. Scnxmrrto write a monographon abstract harmonic analysis for the Grundlehren. der Maihemaiischen Wissenscha/ten series,weintendedto writeall that wecouldfindoutaboutthesubjectin a textof about 600printedpages. We intended thatour book should be accessi ble tobeginners,and we hoped to makeit usefulto specialists as well. These aims proved to be mutually inconsistent. Hencethe presentvolume comprises onl y half of theprojectedwork. Itgives all ofthe structure oftopological groups neededfor harmonic analysisas it is known to u s; it treats integration on locallycompact groups in detail;it contains an introductionto the theory of group representati ons. In the second volume we will treat harmonicanalysisoncompactgroupsand locallycompactAbeliangroups, in considerable et d ail. Thebook is basedon courses given by E. HEWITT at the University of Washington and the University of Uppsala,althoughnaturallythe material of these courses has been en ormously expanded to meet the needsof a formal monograph. Like the. other treatments of harmonic analysisthathaveappeared since 1940,the book is a linealdescendant of A. WEIL'S fundamentaltreatise (WElL [4J)1. The debtof all workers in the field to WEIL'S work is wellknown and enormous. We havealso borrowed freely from LOOMIS'S treatmentof the subject (Lool\IIS[2 J), from NAIMARK [1J,and most especially from PONTRYA GIN [7]. In our exposition ofthestructur e of locally compact Abelian groups and of the PONTRYA GIN-VA N KAM PEN dualitytheorem,wehave beenstrongly influenced byPONTRYA GIN'S treatment. We hope to havejustified the writing of yet anothertreatiseon abstractharmonicanalysis by taking up recentwork, by writingoutthedetailsofeveryimportantconstruction andtheorem,andby including a largenumberof concrete ex amplesand factsnotavailablein other textbooks |
| Beschreibung: | 1 Online-Ressource (IX, 525 p) |
| ISBN: | 9781441986382 9780387941905 |
| DOI: | 10.1007/978-1-4419-8638-2 |
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| 245 | 1 | 0 | |a Abstract Harmonic Analysis |b Volume I Structure of Topological Groups Integration Theory Group Representations |c by Edwin Hewitt, Kenneth A. Ross |
| 250 | |a Second Edition | ||
| 264 | 1 | |a New York, NY |b Springer New York |c 1979 | |
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| 500 | |a When we acce pted th ekindinvitationof Prof. Dr. F. K. Scnxmrrto write a monographon abstract harmonic analysis for the Grundlehren. der Maihemaiischen Wissenscha/ten series,weintendedto writeall that wecouldfindoutaboutthesubjectin a textof about 600printedpages. We intended thatour book should be accessi ble tobeginners,and we hoped to makeit usefulto specialists as well. These aims proved to be mutually inconsistent. Hencethe presentvolume comprises onl y half of theprojectedwork. Itgives all ofthe structure oftopological groups neededfor harmonic analysisas it is known to u s; it treats integration on locallycompact groups in detail;it contains an introductionto the theory of group representati ons. In the second volume we will treat harmonicanalysisoncompactgroupsand locallycompactAbeliangroups, in considerable et d ail. Thebook is basedon courses given by E. HEWITT at the University of Washington and the University of Uppsala,althoughnaturallythe material of these courses has been en ormously expanded to meet the needsof a formal monograph. Like the. other treatments of harmonic analysisthathaveappeared since 1940,the book is a linealdescendant of A. WEIL'S fundamentaltreatise (WElL [4J)1. The debtof all workers in the field to WEIL'S work is wellknown and enormous. We havealso borrowed freely from LOOMIS'S treatmentof the subject (Lool\IIS[2 J), from NAIMARK [1J,and most especially from PONTRYA GIN [7]. In our exposition ofthestructur e of locally compact Abelian groups and of the PONTRYA GIN-VA N KAM PEN dualitytheorem,wehave beenstrongly influenced byPONTRYA GIN'S treatment. We hope to havejustified the writing of yet anothertreatiseon abstractharmonicanalysis by taking up recentwork, by writingoutthedetailsofeveryimportantconstruction andtheorem,andby including a largenumberof concrete ex amplesand factsnotavailablein other textbooks | ||
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Datensatz im Suchindex
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| author | Hewitt, Edwin |
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| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.2 |
| dewey-search | 512.2 |
| dewey-sort | 3512.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4419-8638-2 |
| edition | Second Edition |
| format | Electronic eBook |
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| id | DE-604.BV042419289 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781441986382 9780387941905 |
| language | English |
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| spelling | Hewitt, Edwin Verfasser aut Abstract Harmonic Analysis Volume I Structure of Topological Groups Integration Theory Group Representations by Edwin Hewitt, Kenneth A. Ross Second Edition New York, NY Springer New York 1979 1 Online-Ressource (IX, 525 p) txt rdacontent c rdamedia cr rdacarrier When we acce pted th ekindinvitationof Prof. Dr. F. K. Scnxmrrto write a monographon abstract harmonic analysis for the Grundlehren. der Maihemaiischen Wissenscha/ten series,weintendedto writeall that wecouldfindoutaboutthesubjectin a textof about 600printedpages. We intended thatour book should be accessi ble tobeginners,and we hoped to makeit usefulto specialists as well. These aims proved to be mutually inconsistent. Hencethe presentvolume comprises onl y half of theprojectedwork. Itgives all ofthe structure oftopological groups neededfor harmonic analysisas it is known to u s; it treats integration on locallycompact groups in detail;it contains an introductionto the theory of group representati ons. In the second volume we will treat harmonicanalysisoncompactgroupsand locallycompactAbeliangroups, in considerable et d ail. Thebook is basedon courses given by E. HEWITT at the University of Washington and the University of Uppsala,althoughnaturallythe material of these courses has been en ormously expanded to meet the needsof a formal monograph. Like the. other treatments of harmonic analysisthathaveappeared since 1940,the book is a linealdescendant of A. WEIL'S fundamentaltreatise (WElL [4J)1. The debtof all workers in the field to WEIL'S work is wellknown and enormous. We havealso borrowed freely from LOOMIS'S treatmentof the subject (Lool\IIS[2 J), from NAIMARK [1J,and most especially from PONTRYA GIN [7]. In our exposition ofthestructur e of locally compact Abelian groups and of the PONTRYA GIN-VA N KAM PEN dualitytheorem,wehave beenstrongly influenced byPONTRYA GIN'S treatment. We hope to havejustified the writing of yet anothertreatiseon abstractharmonicanalysis by taking up recentwork, by writingoutthedetailsofeveryimportantconstruction andtheorem,andby including a largenumberof concrete ex amplesand factsnotavailablein other textbooks Mathematics Group theory Group Theory and Generalizations Real Functions Mathematik Ross, Kenneth A. Sonstige oth https://doi.org/10.1007/978-1-4419-8638-2 Verlag Volltext |
| spellingShingle | Hewitt, Edwin Abstract Harmonic Analysis Volume I Structure of Topological Groups Integration Theory Group Representations Mathematics Group theory Group Theory and Generalizations Real Functions Mathematik |
| title | Abstract Harmonic Analysis Volume I Structure of Topological Groups Integration Theory Group Representations |
| title_auth | Abstract Harmonic Analysis Volume I Structure of Topological Groups Integration Theory Group Representations |
| title_exact_search | Abstract Harmonic Analysis Volume I Structure of Topological Groups Integration Theory Group Representations |
| title_full | Abstract Harmonic Analysis Volume I Structure of Topological Groups Integration Theory Group Representations by Edwin Hewitt, Kenneth A. Ross |
| title_fullStr | Abstract Harmonic Analysis Volume I Structure of Topological Groups Integration Theory Group Representations by Edwin Hewitt, Kenneth A. Ross |
| title_full_unstemmed | Abstract Harmonic Analysis Volume I Structure of Topological Groups Integration Theory Group Representations by Edwin Hewitt, Kenneth A. Ross |
| title_short | Abstract Harmonic Analysis |
| title_sort | abstract harmonic analysis volume i structure of topological groups integration theory group representations |
| title_sub | Volume I Structure of Topological Groups Integration Theory Group Representations |
| topic | Mathematics Group theory Group Theory and Generalizations Real Functions Mathematik |
| topic_facet | Mathematics Group theory Group Theory and Generalizations Real Functions Mathematik |
| url | https://doi.org/10.1007/978-1-4419-8638-2 |
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