Spherical Inversion on SLn(R):
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2001
|
| Series: | Springer Monographs in Mathematics
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Harish-Chandra's general Plancherel inversion theorem admits a much shorter presentation for spherical functions. The authors have taken into account contributions by Helgason, Gangolli, Rosenberg, and Anker from the mid-1960s to 1990. Anker's simplification of spherical inversion on the Harish-Chandra Schwartz space had not yet made it into a book exposition. Previous expositions have dealt with a general, wide class of Lie groups. This has made access to the subject difficult for outsiders, who may wish to connect some aspects with several if not all other parts of mathematics, and do so in specific cases of intrinsic interest. The essential features of Harish-Chandra theory are exhibited on SLn(R), but hundreds of pages of background can be replaced by short direct verifications. The material becomes accessible to graduate students with especially no background in Lie groups and representation theory. Spherical inversion is sufficient to deal with the heat kernel, which is at the center of the authors' current research. The book will serve as a self-contained background for parts of this research |
| Physical Description: | 1 Online-Ressource (XX, 426p. 2 illus) |
| ISBN: | 9781468493023 9781441928832 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/978-1-4684-9302-3 |
Staff View
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Record in the Search Index
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781468493023 9781441928832 |
| issn | 1439-7382 |
| language | English |
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| spelling | Jorgenson, Jay Verfasser aut Spherical Inversion on SLn(R) by Jay Jorgenson, Serge Lang New York, NY Springer New York 2001 1 Online-Ressource (XX, 426p. 2 illus) txt rdacontent c rdamedia cr rdacarrier Springer Monographs in Mathematics 1439-7382 Harish-Chandra's general Plancherel inversion theorem admits a much shorter presentation for spherical functions. The authors have taken into account contributions by Helgason, Gangolli, Rosenberg, and Anker from the mid-1960s to 1990. Anker's simplification of spherical inversion on the Harish-Chandra Schwartz space had not yet made it into a book exposition. Previous expositions have dealt with a general, wide class of Lie groups. This has made access to the subject difficult for outsiders, who may wish to connect some aspects with several if not all other parts of mathematics, and do so in specific cases of intrinsic interest. The essential features of Harish-Chandra theory are exhibited on SLn(R), but hundreds of pages of background can be replaced by short direct verifications. The material becomes accessible to graduate students with especially no background in Lie groups and representation theory. Spherical inversion is sufficient to deal with the heat kernel, which is at the center of the authors' current research. The book will serve as a self-contained background for parts of this research Mathematics Topological Groups Topological Groups, Lie Groups Mathematik Kugelfunktion (DE-588)4033494-6 gnd rswk-swf Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd rswk-swf Inversion Mathematik (DE-588)4162235-2 gnd rswk-swf Halbeinfache Lie-Gruppe (DE-588)4122188-6 s Kugelfunktion (DE-588)4033494-6 s Inversion Mathematik (DE-588)4162235-2 s 1\p DE-604 Lang, Serge Sonstige oth https://doi.org/10.1007/978-1-4684-9302-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jorgenson, Jay Spherical Inversion on SLn(R) Mathematics Topological Groups Topological Groups, Lie Groups Mathematik Kugelfunktion (DE-588)4033494-6 gnd Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd Inversion Mathematik (DE-588)4162235-2 gnd |
| subject_GND | (DE-588)4033494-6 (DE-588)4122188-6 (DE-588)4162235-2 |
| title | Spherical Inversion on SLn(R) |
| title_auth | Spherical Inversion on SLn(R) |
| title_exact_search | Spherical Inversion on SLn(R) |
| title_full | Spherical Inversion on SLn(R) by Jay Jorgenson, Serge Lang |
| title_fullStr | Spherical Inversion on SLn(R) by Jay Jorgenson, Serge Lang |
| title_full_unstemmed | Spherical Inversion on SLn(R) by Jay Jorgenson, Serge Lang |
| title_short | Spherical Inversion on SLn(R) |
| title_sort | spherical inversion on sln r |
| topic | Mathematics Topological Groups Topological Groups, Lie Groups Mathematik Kugelfunktion (DE-588)4033494-6 gnd Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd Inversion Mathematik (DE-588)4162235-2 gnd |
| topic_facet | Mathematics Topological Groups Topological Groups, Lie Groups Mathematik Kugelfunktion Halbeinfache Lie-Gruppe Inversion Mathematik |
| url | https://doi.org/10.1007/978-1-4684-9302-3 |
| work_keys_str_mv | AT jorgensonjay sphericalinversiononslnr AT langserge sphericalinversiononslnr |