Automorphic forms and representations
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| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, United Kingdom
Cambridge University Press
2004
|
| Ausgabe: | First paperback edition 1998, transferred to digital printing |
| Schriftenreihe: | Cambridge studies in advanced mathematics
55 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a Automorphic forms and representations |c Daniel Bump (Stanford University) |
| 250 | |a First paperback edition 1998, transferred to digital printing | ||
| 264 | 1 | |a Cambridge, United Kingdom |b Cambridge University Press |c 2004 | |
| 264 | 4 | |c © 1998 | |
| 300 | |a XIV, 574 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics |v 55 | |
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| 830 | 0 | |a Cambridge studies in advanced mathematics |v 55 |w (DE-604)BV000003678 |9 55 | |
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Datensatz im Suchindex
| DE-BY-UBR_call_number | 80/SK 180 B941(.004) 801/SK 180 B941(.004) |
|---|---|
| DE-BY-UBR_katkey | 4713367 |
| DE-BY-UBR_location | 80 |
| DE-BY-UBR_media_number | 069037292931 069037292920 TEMP12543700 |
| _version_ | 1822726386472714240 |
| adam_text | Contents
Preface
ix
Advice
to the Reader
xi
Prerequisites
xiv
Notations
XV
1
Modular Forms
1
1.1
Dirichlet L-Functions
3
1.2
The Modular Group
17
1.3
Modular Forms for SL(2, Z)
26
1.4
Hecke
Operators
41
1.5
Twisting
54
1.6
The Rankin-Selberg Method
65
1.7
Hecke
Characters and Hilbert Modular Forms
76
1.8
Artin L-Functions and
Langlands
Functoriality
90
1.9
Maass Forms
103
1.10
Base Change
119
2
Automorphic Forms and Representations of GL(2, R)
127
2.1
Maass Forms and the Spectral Problem
128
2.2
Basic Lie Theory
145
2.3
Discreteness of the Spectrum
165
2.4
Basic Representation Theory
186
2.5
Irreducible (g, /Q-Modules for GL(2, R)
203
2.6
Unitaricity and Intertwining Integrals
222
2.7
Representations and the Spectral Problem
241
2.8
Whittaker Models
243
2.9
A Theorem of Harish-Chandra
246
vi
Contents
3
Automorphic Representations
252
3.1
Tate s Thesis
254
3.2
Classical Automorphic Forms and Representations
278
3.3
Automorphic Representations of GL(ri)
291
3.4
The Tensor Product Theorem
307
3.5
Whittaker Models and Automorphic Forms
321
3.6
Adelization of Classical Automorphic Forms
341
3.7 Eisenstein
Series and Intertwining Integrals
346
3.8
The Rankin-Selberg Method
368
3.9
The Global
Langlands
Conjectures
375
3.10
The Triple Convolution
385
4
Representations of GL(2) Over
ар-ятс
Field
397
4.1
GL(2) Over a Finite Field
398
4.2
Smooth and Admissible Representations
424
4.3
Distributions and Sheaves
436
4.4
Whittaker Models and the
Jacquet
Functor
452
4.5
The Principal Series Representations
469
4.6
Spherical Representations
490
4.7
Local Functional Equations
511
4.8
Supercuspidals and the Weil Representation
523
4.9
The Local
Langlands
Correspondence
549
Bibliography
558
Index
568
|
| any_adam_object | 1 |
| author | Bump, Daniel 1952- |
| author_GND | (DE-588)110339959 |
| author_facet | Bump, Daniel 1952- |
| author_role | aut |
| author_sort | Bump, Daniel 1952- |
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| building | Verbundindex |
| bvnumber | BV025370308 |
| classification_rvk | SK 260 |
| ctrlnum | (OCoLC)705346779 (DE-599)BVBBV025370308 |
| discipline | Mathematik |
| edition | First paperback edition 1998, transferred to digital printing |
| format | Book |
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| id | DE-604.BV025370308 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-23T23:47:34Z |
| institution | BVB |
| isbn | 052155098X 0521658187 9780521658188 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019996223 |
| oclc_num | 705346779 |
| open_access_boolean | |
| owner | DE-11 DE-355 DE-BY-UBR |
| owner_facet | DE-11 DE-355 DE-BY-UBR |
| physical | XIV, 574 Seiten |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spellingShingle | Bump, Daniel 1952- Automorphic forms and representations Cambridge studies in advanced mathematics Automorphe Darstellung (DE-588)4192856-8 gnd Automorphe Form (DE-588)4003972-9 gnd |
| subject_GND | (DE-588)4192856-8 (DE-588)4003972-9 |
| title | Automorphic forms and representations |
| title_auth | Automorphic forms and representations |
| title_exact_search | Automorphic forms and representations |
| title_full | Automorphic forms and representations Daniel Bump (Stanford University) |
| title_fullStr | Automorphic forms and representations Daniel Bump (Stanford University) |
| title_full_unstemmed | Automorphic forms and representations Daniel Bump (Stanford University) |
| title_short | Automorphic forms and representations |
| title_sort | automorphic forms and representations |
| topic | Automorphe Darstellung (DE-588)4192856-8 gnd Automorphe Form (DE-588)4003972-9 gnd |
| topic_facet | Automorphe Darstellung Automorphe Form |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019996223&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003678 |
| work_keys_str_mv | AT bumpdaniel automorphicformsandrepresentations |