Automorphic forms on semisimple Lie groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1968
|
| Schriftenreihe: | Lecture notes in mathematics
62 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 138 S. |
Internformat
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| 100 | 0 | |a Harish-Chandra |d 1923-1983 |e Verfasser |0 (DE-588)119089130 |4 aut | |
| 245 | 1 | 0 | |a Automorphic forms on semisimple Lie groups |c Harish-Chandra |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1968 | |
| 300 | |a X, 138 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 62 | |
| 650 | 4 | |a Groupes de Lie semi-simples | |
| 650 | 4 | |a Équations fonctionnelles | |
| 650 | 4 | |a Functional equations | |
| 650 | 4 | |a Semisimple Lie groups | |
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Datensatz im Suchindex
| _version_ | 1804117228438683648 |
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| adam_text | Contentb
Chapter I
§ 1. Algebraic and arithmetic results 1
§ 2. Automorphic forms 6
§ 3 Inequalities. Statement of the main lemma 9
§ 4. The space of cusp forms 12
§ 5» A theorem of Langlands 16
§ 6. Proof of Theorem 1 17
§ 7 Proof of the main lemma 21
Chapter II
§ 1. Inequalities 24
§ 2. Eisenstein series 26
§ 3. The functions Ef 31
§ 4. The constant term of the Fourier series of EA 33
§ 5 The constant term of E^ (P,. and P~ associate) 39
§ 6. Orthogonality and density of the E, 45
§ 7. The adjoint of c(s:a) 49
§ 8. Automorphic forms of type q 52
Chapter III
§ 0. Introduction 54
§ 1. Statement of Theorem 6 54
§ 2. Proof of Theorem 6 57
§ 3 Consequences of Theorem 6 64
§ 4. Langland s lemma for arbitrary q 65
Chapter IV
§ 1. A partition of G/T 69
§ 2. The Maass Selberg relations 71
§ 3. The functions E. 76
§ 4. Further preparation of the analytic continuation 82
§ 5» Analytic continuation of c(z) and E(z: p): first step 89
§ 6. Analytic continuation to C {0} 99
§ 7. Analytic continuation: the point 0 103
§ 8. Boundedness of c for Im(z) *o° 105
Chapter V
§ 1. Some preparation 109
§ 2. Statement of Theorems 8 and 9 112
§ 3. First part of the proof of Theorem 8 114
§ 4 . End of the proof of Theorem 8 122
§ 5. Proof of Theorem 9 128
|
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| author | Harish-Chandra 1923-1983 |
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| classification_rvk | SI 850 SK 340 |
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| dewey-full | 512/.89 |
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| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.89 |
| dewey-search | 512/.89 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:51:04Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001837980 |
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| physical | X, 138 S. |
| publishDate | 1968 |
| publishDateSearch | 1968 |
| publishDateSort | 1968 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Harish-Chandra 1923-1983 Verfasser (DE-588)119089130 aut Automorphic forms on semisimple Lie groups Harish-Chandra Berlin [u.a.] Springer 1968 X, 138 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 62 Groupes de Lie semi-simples Équations fonctionnelles Functional equations Semisimple Lie groups Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Automorphe Form (DE-588)4003972-9 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 s DE-604 Halbeinfache Lie-Gruppe (DE-588)4122188-6 s Automorphe Form (DE-588)4003972-9 s Lecture notes in mathematics 62 (DE-604)BV000676446 62 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001837980&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Harish-Chandra 1923-1983 Automorphic forms on semisimple Lie groups Lecture notes in mathematics Groupes de Lie semi-simples Équations fonctionnelles Functional equations Semisimple Lie groups Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd Lie-Gruppe (DE-588)4035695-4 gnd Automorphe Form (DE-588)4003972-9 gnd |
| subject_GND | (DE-588)4122188-6 (DE-588)4035695-4 (DE-588)4003972-9 |
| title | Automorphic forms on semisimple Lie groups |
| title_auth | Automorphic forms on semisimple Lie groups |
| title_exact_search | Automorphic forms on semisimple Lie groups |
| title_full | Automorphic forms on semisimple Lie groups Harish-Chandra |
| title_fullStr | Automorphic forms on semisimple Lie groups Harish-Chandra |
| title_full_unstemmed | Automorphic forms on semisimple Lie groups Harish-Chandra |
| title_short | Automorphic forms on semisimple Lie groups |
| title_sort | automorphic forms on semisimple lie groups |
| topic | Groupes de Lie semi-simples Équations fonctionnelles Functional equations Semisimple Lie groups Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd Lie-Gruppe (DE-588)4035695-4 gnd Automorphe Form (DE-588)4003972-9 gnd |
| topic_facet | Groupes de Lie semi-simples Équations fonctionnelles Functional equations Semisimple Lie groups Halbeinfache Lie-Gruppe Lie-Gruppe Automorphe Form |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001837980&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT harishchandra automorphicformsonsemisimpleliegroups |