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Period functions for Maass wave forms and cohomology /
The authors construct explicit isomorphisms between spaces of Maass wave forms and cohomology groups for discrete cofinite groups \Gamma\subset\mathrm{PSL}_2({\mathbb{R}}). In the case that \Gamma is the modular group \mathrm{PSL}_2({\mathbb{Z}}) this gives a cohomological framework for the results...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2015.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1118. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | EBOOKCENTRAL_ocn917876507 | ||
| 003 | OCoLC | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Bruggeman, Roelof W., |d 1944- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJmXCMR3tvWMgTkJxwJFKd | |
| 245 | 1 | 0 | |a Period functions for Maass wave forms and cohomology / |c R. Bruggeman, J. Lewis, D. Zagier. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2015. | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (xii, 132 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 237, number 1118 | |
| 588 | 0 | |a Online resource; title from PDF title page (viewed October 6, 2015). | |
| 504 | |a Includes bibliographical references (pages 127-128) and index. | ||
| 500 | |a "Volume 237, number 1118 (second of 6 numbers), September 2015." | ||
| 505 | 0 | |a Introduction -- Eigenfunctions of the hyperbolic Laplace operator -- Maass forms and analytic cohomology: cocompact groups -- Cohomology of infinite cyclic subgroups of PSL₂(R) -- Maass forms and semi-analytic cohomology: groups with cusps -- Maass forms and differentiable cohomology -- Distribution cohomology and Petersson product -- Bibliography -- Index -- List of notations. | |
| 520 | |a The authors construct explicit isomorphisms between spaces of Maass wave forms and cohomology groups for discrete cofinite groups \Gamma\subset\mathrm{PSL}_2({\mathbb{R}}). In the case that \Gamma is the modular group \mathrm{PSL}_2({\mathbb{Z}}) this gives a cohomological framework for the results in Period functions for Maass wave forms. I, of J. Lewis and D. Zagier in Ann. Math. 153 (2001), 191-258, where a bijection was given between cuspidal Maass forms and period functions. The authors introduce the concepts of mixed parabolic cohomology group and semi-analytic vectors in principal serie. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Forms, Modular. | |
| 650 | 0 | |a Forms (Mathematics) | |
| 650 | 0 | |a Cohomology operations. | |
| 650 | 0 | |a Algebraic topology. | |
| 650 | 6 | |a Formes modulaires. | |
| 650 | 6 | |a Formes (Mathématiques) | |
| 650 | 6 | |a Opérations cohomologiques. | |
| 650 | 6 | |a Topologie algébrique. | |
| 650 | 7 | |a Algebraic topology |2 fast | |
| 650 | 7 | |a Cohomology operations |2 fast | |
| 650 | 7 | |a Forms (Mathematics) |2 fast | |
| 650 | 7 | |a Forms, Modular |2 fast | |
| 700 | 1 | |a Lewis, J. |q (John B), |d 1944- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjrKyP7dFkGT4b8dmCTVwd | |
| 700 | 1 | |a Zagier, Don, |d 1951- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJjd9y6X67XbywHJVmFtKd | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Period functions for Maass wave forms and cohomology (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGFt4dTRggWqT6qVgdWTwP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Bruggeman, Roelof W., 1944- |t Period functions for Maass wave forms and cohomology. |d Providence, Rhode Island : American Mathematical Society, 2015 |z 9781470414078 |z 1470414074 |w (DLC) 2015016270 |w (OCoLC)908311214 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1118. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4832025 |z Texto completo |
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| 938 | |a ProQuest Ebook Central |b EBLB |n EBL4832025 | ||
| 938 | |a YBP Library Services |b YANK |n 13155131 | ||
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