Automorphic forms on SL 2 (R):
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge University Press
1997
|
| Edition: | 1. publication |
| Series: | Cambridge Tracts in Mathematics
130 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 192 Seiten |
| ISBN: | 0521580498 |
Staff View
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| 245 | 1 | 0 | |a Automorphic forms on SL 2 (R) |c Armand Borel, Institute for Advanced Study |
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Record in the Search Index
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| adam_text | Contents
Preface page ix
0 Introduction 1
1 Basic material on SL2(R), discrete subgroups, and the
upper half plane
1 Prerequisites and notation 9
2 Review of SL2(IR), differential operators, and convolution 12
3 Action of G on X. Discrete subgroups of G. Reduction theory 29
4 The unit disc model 48
II Automorphic forms and cusp forms
5 Growth conditions. Automorphic forms 53
6 Poincare series 65
7 Constant term: the fundamental estimate 70
8 Finite dimensionality of the space of automorphic forms of a
given type 75
9 Convolution operators on cuspidal functions 81
III Eisenstein series
10 Definition and convergence of Eisenstein series 87
11 Analytic continuation of the Eisenstein series 99
12 Eisenstein series and automorphic forms orthogonal to cusp forms 119
IV Spectral decomposition and representations
13 Spectral decomposition of L2 (T G )m with respect to C 145
14 Generalities on representations of G 153
15 Representations of G 158
16 Spectral decomposition of L2(r G): the discrete spectrum 167
vii
viii Contents
17 Spectral decomposition of L2(F G): the continuous spectrum 171
18 Concluding remarks 182
References 185
Notation index 189
Subject index 191
|
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:17:46Z |
| institution | BVB |
| isbn | 0521580498 |
| language | English |
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| physical | X, 192 Seiten |
| publishDate | 1997 |
| publishDateSearch | 1997 |
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| publisher | Cambridge University Press |
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| series | Cambridge Tracts in Mathematics |
| series2 | Cambridge Tracts in Mathematics |
| spelling | Borel, Armand 1923-2003 Verfasser (DE-588)119089106 aut Automorphic forms on SL 2 (R) Armand Borel, Institute for Advanced Study 1. publication Cambridge [u.a.] Cambridge University Press 1997 X, 192 Seiten txt rdacontent n rdamedia nc rdacarrier Cambridge Tracts in Mathematics 130 Automorfe functies gtt Automorphic forms Automorphe Form (DE-588)4003972-9 gnd rswk-swf Automorphe Form (DE-588)4003972-9 s DE-604 Cambridge Tracts in Mathematics 130 (DE-604)BV000000001 130 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008020383&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Borel, Armand 1923-2003 Automorphic forms on SL 2 (R) Cambridge Tracts in Mathematics Automorfe functies gtt Automorphic forms Automorphe Form (DE-588)4003972-9 gnd |
| subject_GND | (DE-588)4003972-9 |
| title | Automorphic forms on SL 2 (R) |
| title_auth | Automorphic forms on SL 2 (R) |
| title_exact_search | Automorphic forms on SL 2 (R) |
| title_full | Automorphic forms on SL 2 (R) Armand Borel, Institute for Advanced Study |
| title_fullStr | Automorphic forms on SL 2 (R) Armand Borel, Institute for Advanced Study |
| title_full_unstemmed | Automorphic forms on SL 2 (R) Armand Borel, Institute for Advanced Study |
| title_short | Automorphic forms on SL 2 (R) |
| title_sort | automorphic forms on sl 2 r |
| topic | Automorfe functies gtt Automorphic forms Automorphe Form (DE-588)4003972-9 gnd |
| topic_facet | Automorfe functies Automorphic forms Automorphe Form |
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