Automorphic pseudodifferential analysis and higher level Weyl calculi:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
2003
|
| Schriftenreihe: | Progress in mathematics
209 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010062034&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | 246 S. |
| ISBN: | 3764369094 |
Internformat
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| 245 | 1 | 0 | |a Automorphic pseudodifferential analysis and higher level Weyl calculi |c André Unterberger |
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Datensatz im Suchindex
| _version_ | 1819306151823540224 |
|---|---|
| adam_text | Contents
0 Foreword 1
1 Introduction 3
1 Automorphic Distributions and the Weyl Calculus
2 The Weyl calculus, the upper half plane, and
automorphic distributions 11
3 Eisenstein distributions, Dirac s comb and
Bezout s distribution 18
4 The structure of automorphic distributions 28
5 The main formula: a heuristic approach 40
2 A Higher level Weyl Calculus of Operators
6 A tamer version of the Weyl calculus: the horocyclic calculus .... 53
7 The higher level metaplectic representations 59
8 The radial parts of relativistic wave operators 74
9 The higher level Weyl calculi 82
10 Can one compose two automorphic operators? 95
11 The sharp product of two power functions: the Weyl case 106
12 Beyond the symplectic group 118
3 The Sharp Composition of Automorphic Distributions
13 The Roelcke Selberg expansion of functions associated
with €^#6^: the continuous part 131
14 The Roelcke Selberg expansion of functions associated
with €2,j# £E2: the discrete part 151
15 A proof of the main formula 163
16 Towards the completion of the multiplication table 171
4 Further Perspectives
17 Another way to compose Weyl symbols 195
18 Odd automorphic distributions and modular forms
of non zero weight 217
19 New perspectives and problems in quantization theory 228
Index of Notation 239
Subject Index 241
Bibliography 243
|
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| id | DE-604.BV014880440 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T11:09:18Z |
| institution | BVB |
| isbn | 3764369094 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010062034 |
| oclc_num | 51088136 |
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| physical | 246 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spellingShingle | Unterberger, André 1940- Automorphic pseudodifferential analysis and higher level Weyl calculi Progress in mathematics Análise funcional larpcal Mathématiques Operadores pseudo-diferenciais larpcal Opérateurs pseudo-différentiels Mathematik Mathematics Pseudodifferential operators Quantisierung Physik (DE-588)4176603-9 gnd Analysis (DE-588)4001865-9 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd Automorphe Form (DE-588)4003972-9 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| subject_GND | (DE-588)4176603-9 (DE-588)4001865-9 (DE-588)4047640-6 (DE-588)4003972-9 (DE-588)4035695-4 |
| title | Automorphic pseudodifferential analysis and higher level Weyl calculi |
| title_auth | Automorphic pseudodifferential analysis and higher level Weyl calculi |
| title_exact_search | Automorphic pseudodifferential analysis and higher level Weyl calculi |
| title_full | Automorphic pseudodifferential analysis and higher level Weyl calculi André Unterberger |
| title_fullStr | Automorphic pseudodifferential analysis and higher level Weyl calculi André Unterberger |
| title_full_unstemmed | Automorphic pseudodifferential analysis and higher level Weyl calculi André Unterberger |
| title_short | Automorphic pseudodifferential analysis and higher level Weyl calculi |
| title_sort | automorphic pseudodifferential analysis and higher level weyl calculi |
| topic | Análise funcional larpcal Mathématiques Operadores pseudo-diferenciais larpcal Opérateurs pseudo-différentiels Mathematik Mathematics Pseudodifferential operators Quantisierung Physik (DE-588)4176603-9 gnd Analysis (DE-588)4001865-9 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd Automorphe Form (DE-588)4003972-9 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| topic_facet | Análise funcional Mathématiques Operadores pseudo-diferenciais Opérateurs pseudo-différentiels Mathematik Mathematics Pseudodifferential operators Quantisierung Physik Analysis Pseudodifferentialoperator Automorphe Form Lie-Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010062034&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004120 |
| work_keys_str_mv | AT unterbergerandre automorphicpseudodifferentialanalysisandhigherlevelweylcalculi |