Modern analysis of automorphic forms by example, Volume 1:
This is Volume 1 of a two-volume book that provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts surrounding and supporting the theory of automorphic forms. The two-volume book treats three instanc...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
173 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBA01 UBR01 URL des Erstveröffentlichers |
| Zusammenfassung: | This is Volume 1 of a two-volume book that provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts surrounding and supporting the theory of automorphic forms. The two-volume book treats three instances, starting with some small unimodular examples, followed by adelic GL2, and finally GLn. Volume 1 features critical results, which are proven carefully and in detail, including discrete decomposition of cuspforms, meromorphic continuation of Eisenstein series, spectral decomposition of pseudo-Eisenstein series, and automorphic Plancherel theorem. Volume 2 features automorphic Green's functions, metrics and topologies on natural function spaces, unbounded operators, vector-valued integrals, vector-valued holomorphic functions, and asymptotics. With numerous proofs and extensive examples, this classroom-tested introductory text is meant for a second-year or advanced graduate course in automorphic forms, and also as a resource for researchers working in automorphic forms, analytic number theory, and related fields |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 14 Sep 2018) |
| Beschreibung: | 1 Online-Ressource (xxii, 384 Seiten) |
| ISBN: | 9781316650332 |
| DOI: | 10.1017/9781316650332 |
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| 520 | |a This is Volume 1 of a two-volume book that provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts surrounding and supporting the theory of automorphic forms. The two-volume book treats three instances, starting with some small unimodular examples, followed by adelic GL2, and finally GLn. Volume 1 features critical results, which are proven carefully and in detail, including discrete decomposition of cuspforms, meromorphic continuation of Eisenstein series, spectral decomposition of pseudo-Eisenstein series, and automorphic Plancherel theorem. Volume 2 features automorphic Green's functions, metrics and topologies on natural function spaces, unbounded operators, vector-valued integrals, vector-valued holomorphic functions, and asymptotics. With numerous proofs and extensive examples, this classroom-tested introductory text is meant for a second-year or advanced graduate course in automorphic forms, and also as a resource for researchers working in automorphic forms, analytic number theory, and related fields | ||
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| author | Garrett, Paul ca. 20./21. Jh |
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| discipline | Mathematik |
| doi_str_mv | 10.1017/9781316650332 |
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| institution | BVB |
| isbn | 9781316650332 |
| language | English |
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| publishDate | 2018 |
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| spelling | Garrett, Paul ca. 20./21. Jh. Verfasser (DE-588)1169445527 aut Modern analysis of automorphic forms by example, Volume 1 Paul Garrett Cambridge Cambridge University Press 2018 1 Online-Ressource (xxii, 384 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 173 Title from publisher's bibliographic system (viewed on 14 Sep 2018) This is Volume 1 of a two-volume book that provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts surrounding and supporting the theory of automorphic forms. The two-volume book treats three instances, starting with some small unimodular examples, followed by adelic GL2, and finally GLn. Volume 1 features critical results, which are proven carefully and in detail, including discrete decomposition of cuspforms, meromorphic continuation of Eisenstein series, spectral decomposition of pseudo-Eisenstein series, and automorphic Plancherel theorem. Volume 2 features automorphic Green's functions, metrics and topologies on natural function spaces, unbounded operators, vector-valued integrals, vector-valued holomorphic functions, and asymptotics. With numerous proofs and extensive examples, this classroom-tested introductory text is meant for a second-year or advanced graduate course in automorphic forms, and also as a resource for researchers working in automorphic forms, analytic number theory, and related fields Automorphic forms Forms (Mathematics) Erscheint auch als Druck-Ausgabe 978-1-107-15400-1 Cambridge studies in advanced mathematics 173 (DE-604)BV044781283 173 https://doi.org/10.1017/9781316650332 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Garrett, Paul ca. 20./21. Jh Modern analysis of automorphic forms by example, Volume 1 Cambridge studies in advanced mathematics Automorphic forms Forms (Mathematics) |
| title | Modern analysis of automorphic forms by example, Volume 1 |
| title_auth | Modern analysis of automorphic forms by example, Volume 1 |
| title_exact_search | Modern analysis of automorphic forms by example, Volume 1 |
| title_full | Modern analysis of automorphic forms by example, Volume 1 Paul Garrett |
| title_fullStr | Modern analysis of automorphic forms by example, Volume 1 Paul Garrett |
| title_full_unstemmed | Modern analysis of automorphic forms by example, Volume 1 Paul Garrett |
| title_short | Modern analysis of automorphic forms by example, Volume 1 |
| title_sort | modern analysis of automorphic forms by example volume 1 |
| topic | Automorphic forms Forms (Mathematics) |
| topic_facet | Automorphic forms Forms (Mathematics) |
| url | https://doi.org/10.1017/9781316650332 |
| volume_link | (DE-604)BV044781283 |
| work_keys_str_mv | AT garrettpaul modernanalysisofautomorphicformsbyexamplevolume1 |