Lectures on the spectrum of L 2 (Gamma G):
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Longman
1991
|
| Edition: | 1. publ. |
| Series: | Pitman research notes in mathematics series
242 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 338 - 348 |
| Physical Description: | 348 S. graph. Darst. |
| ISBN: | 047021757X 0582068630 |
Staff View
MARC
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| 245 | 1 | 0 | |a Lectures on the spectrum of L 2 (Gamma G) |c Floyd L. Williams |
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| 300 | |a 348 S. |b graph. Darst. | ||
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Record in the Search Index
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| adam_text | Contents
Preface
Introduction
Part I
1. Measures on homogeneous spaces 1
Appendix 1. Surjectivity of CC(G) — CC(H G) 15
Appendix 2. Surjectivity of Cc(A G) — CC(A G/B) 17
2. The spectral theorem for a family of compact operators 19
3. Applications of Theorem 2.7 to certain unitary
representations 27
4. The decomposition of L2(r G) 32
5. The Selberg trace formula for compact quotients 38
6. Spinor spaces and spin modules 45
Appendix 1. More on the spin group 66
Part II
7. Discrete series multiplicities 74
Appendix 1. Harish Chandra s theorem on the
discrete series 99
Appendix 2. The holomorphic discrete series of SL(2,R) 100
Appendix 3. Dirac operators on homogeneous vector
bundles over G/K 103
Appendix 4. Langlands technical assumption on r 108
8. Cohomological interpretation of derived functor
module multiplicities 110
Appendix 1. Action of the center of U(g) on R^W 138
Appendix 2. The discrete series as a derived
functor module 1^3
9. Class 1 representations and spherical functions 148
Appendix 1. Commutativity of Cl+ (G) 167
Appendix 2. Iwasawa decomposition and Harish Chandra
c function for SL(2,R) 168
Appendix 3. Spherical functions on SL(2,R) 173
10. The Matsushima Murakami formula revisited 176
11. The Selberg trace formula in the rank 1 case 179
Appendix 1. Ix(4 ) for x elliptic 200
Appendix 2. The trace formula for SL(2,R) 208
12. The Class 1 spectrum of r G/K 214
Appendix 1. Solution of z /z = J 232
13. The theta transform and its adjoint 235
Appendix 1. Computation of the measure dn^ for SL(2,R) 259
Appendix 2. Inversion formula for the Mel 1 in transform 261
14. The Poisson summation formula 265
Appendix 1. A lemma involving the divisor function a 274
15. Eisenstein series for SL(2,R), SL(2,Z) 278
16. The spectrum of L2(r G/K) 290
Appendix 1. Two trivial observations 315
17. Huber s formula 318
18. Cohomological interpretation of limits of discrete series
multiplicities 331
References 338
|
| any_adam_object | 1 |
| author | Williams, Floyd L. 1939- |
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| author_facet | Williams, Floyd L. 1939- |
| author_role | aut |
| author_sort | Williams, Floyd L. 1939- |
| author_variant | f l w fl flw |
| building | Verbundindex |
| bvnumber | BV007689045 |
| classification_rvk | SI 880 SK 340 |
| ctrlnum | (OCoLC)889151698 (DE-599)BVBBV007689045 |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV007689045 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:07:41Z |
| institution | BVB |
| isbn | 047021757X 0582068630 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005046225 |
| oclc_num | 889151698 |
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| owner_facet | DE-355 DE-BY-UBR DE-12 DE-384 DE-739 DE-824 DE-29T DE-634 DE-188 |
| physical | 348 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Longman |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Williams, Floyd L. 1939- Verfasser (DE-588)107924005 aut Lectures on the spectrum of L 2 (Gamma G) Floyd L. Williams 1. publ. New York Longman 1991 348 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 242 Literaturverz. S. 338 - 348 Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Selberg-Spurformel (DE-588)4248208-2 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 s DE-604 Selberg-Spurformel (DE-588)4248208-2 s Lie-Algebra (DE-588)4130355-6 s Pitman research notes in mathematics series 242 (DE-604)BV000022845 242 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005046225&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Williams, Floyd L. 1939- Lectures on the spectrum of L 2 (Gamma G) Pitman research notes in mathematics series Spektraltheorie (DE-588)4116561-5 gnd Lie-Algebra (DE-588)4130355-6 gnd Selberg-Spurformel (DE-588)4248208-2 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)4130355-6 (DE-588)4248208-2 |
| title | Lectures on the spectrum of L 2 (Gamma G) |
| title_auth | Lectures on the spectrum of L 2 (Gamma G) |
| title_exact_search | Lectures on the spectrum of L 2 (Gamma G) |
| title_full | Lectures on the spectrum of L 2 (Gamma G) Floyd L. Williams |
| title_fullStr | Lectures on the spectrum of L 2 (Gamma G) Floyd L. Williams |
| title_full_unstemmed | Lectures on the spectrum of L 2 (Gamma G) Floyd L. Williams |
| title_short | Lectures on the spectrum of L 2 (Gamma G) |
| title_sort | lectures on the spectrum of l 2 gamma g |
| topic | Spektraltheorie (DE-588)4116561-5 gnd Lie-Algebra (DE-588)4130355-6 gnd Selberg-Spurformel (DE-588)4248208-2 gnd |
| topic_facet | Spektraltheorie Lie-Algebra Selberg-Spurformel |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005046225&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
| work_keys_str_mv | AT williamsfloydl lecturesonthespectrumofl2gammag |