Period functions for Maass wave forms and cohomology:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
2015
|
| Series: | Memoirs of the American Mathematical Society
1118 = Vol. 237,2 |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028309224&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Item Description: | "Volume 237, number 1118 (second of 6 numbers), September 2015." |
| Physical Description: | XII, 132 S. |
| ISBN: | 9781470414191 |
Staff View
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Record in the Search Index
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| adam_text | Contents
Introduction vii
Chapter 1. Eigenfunctions of the hyperbolic Laplace operator 1
1. Eigenfunctions on the hyperbolic plane 1
2. Principal series 4
3. Boundary germs and transverse Poisson transform 10
4. Averages 15
Chapter 2. Maass forms and analytic cohomology:
cocompact groups 21
5. From Maass forms to analytic cohomology 21
6. Cohomology for cocompact groups 24
7. From cohomology to Maass forms 31
Chapter 3. Cohomology of infinite cyclic subgroups of PSL2 (R) 39
8. Invariants 39
9. Coinvariants 44
Chapter 4. Maass forms and semi-analytic cohomology: groups with cusps 61
10. Maass forms 61
11. Cohomology and parabolic cohomology for groups with cusps 64
12. Maass forms and cohomology 73
13. Parabolic cohomology and mixed parabolic cohomology 79
14. Period functions and periodlike functions for the
full modular group 84
15. Maass forms and holomorphic functions 91
Chapter 5. IMaass forms and differentiable cohomology 95
16. Differentiable parabolic cohomology 95
17. Smooth parabolic cohomology 112
Chapter 6. Distribution cohomology and Petersson product 115
IS. Distribution cohomology 115
19. Duality 117
Bibliography 127
Index 129
List of notations
131
|
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| id | DE-604.BV042880329 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:22:16Z |
| institution | BVB |
| isbn | 9781470414191 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028309224 |
| oclc_num | 923458186 |
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| physical | XII, 132 S. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spellingShingle | Bruggeman, Roelof W. 1944- Period functions for Maass wave forms and cohomology Memoirs of the American Mathematical Society |
| title | Period functions for Maass wave forms and cohomology |
| title_auth | Period functions for Maass wave forms and cohomology |
| title_exact_search | Period functions for Maass wave forms and cohomology |
| title_full | Period functions for Maass wave forms and cohomology R. Bruggeman, J. Lewis, D. Zagier |
| title_fullStr | Period functions for Maass wave forms and cohomology R. Bruggeman, J. Lewis, D. Zagier |
| title_full_unstemmed | Period functions for Maass wave forms and cohomology R. Bruggeman, J. Lewis, D. Zagier |
| title_short | Period functions for Maass wave forms and cohomology |
| title_sort | period functions for maass wave forms and cohomology |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028309224&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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