Harmonic Analysis of Spherical Functions on Real Reductive Groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1988
|
| Schriftenreihe: | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics
101 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Analysis on Symmetric spaces, or more generally, on homogeneous spaces of semisimple Lie groups, is a subject that has undergone a vigorous development in recent years, and has become a central part of contemporary mathematics. This is only to be expected, since homogeneous spaces and group representations arise naturally in diverse contexts ranging from Number theory and Geometry to Particle Physics and Polymer Chemistry. Its explosive growth sometimes makes it difficult to realize that it is actually relatively young as mathematical theories go. The early ideas in the subject (as is the case with many others) go back to Elie Cart an and Hermann Weyl who studied the compact symmetric spaces in the 1930's. However its full development did not begin until the 1950's when Gel'fand and Harish Chandra dared to dream of a theory of representations that included all semisimple Lie groups. Harish-Chandra's theory of spherical functions was essentially complete in the late 1950's, and was to prove to be the forerunner of his monumental work on harmonic analysis on reductive groups that has inspired a whole generation of mathematicians. It is the harmonic analysis of spherical functions on symmetric spaces, that is at the focus of this book. The fundamental questions of harmonic analysis on symmetric spaces involve an interplay of the geometric, analytical, and algebraic aspects of these spaces. They have therefore attracted a great deal of attention, and there have been many excellent expositions of the themes that are characteristic of this subject |
| Beschreibung: | 1 Online-Ressource (XIV, 365p) |
| ISBN: | 9783642729560 9783642729584 |
| ISSN: | 0071-1136 |
| DOI: | 10.1007/978-3-642-72956-0 |
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Datensatz im Suchindex
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| dewey-search | 512.482 512.55 |
| dewey-sort | 3512.482 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-72956-0 |
| format | Electronic eBook |
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| series2 | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics |
| spelling | Gangolli, Ramesh Verfasser aut Harmonic Analysis of Spherical Functions on Real Reductive Groups by Ramesh Gangolli, Veeravalli S. Varadarajan Berlin, Heidelberg Springer Berlin Heidelberg 1988 1 Online-Ressource (XIV, 365p) txt rdacontent c rdamedia cr rdacarrier Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics 101 0071-1136 Analysis on Symmetric spaces, or more generally, on homogeneous spaces of semisimple Lie groups, is a subject that has undergone a vigorous development in recent years, and has become a central part of contemporary mathematics. This is only to be expected, since homogeneous spaces and group representations arise naturally in diverse contexts ranging from Number theory and Geometry to Particle Physics and Polymer Chemistry. Its explosive growth sometimes makes it difficult to realize that it is actually relatively young as mathematical theories go. The early ideas in the subject (as is the case with many others) go back to Elie Cart an and Hermann Weyl who studied the compact symmetric spaces in the 1930's. However its full development did not begin until the 1950's when Gel'fand and Harish Chandra dared to dream of a theory of representations that included all semisimple Lie groups. Harish-Chandra's theory of spherical functions was essentially complete in the late 1950's, and was to prove to be the forerunner of his monumental work on harmonic analysis on reductive groups that has inspired a whole generation of mathematicians. It is the harmonic analysis of spherical functions on symmetric spaces, that is at the focus of this book. The fundamental questions of harmonic analysis on symmetric spaces involve an interplay of the geometric, analytical, and algebraic aspects of these spaces. They have therefore attracted a great deal of attention, and there have been many excellent expositions of the themes that are characteristic of this subject Mathematics Topological Groups Differential equations, partial Topological Groups, Lie Groups Partial Differential Equations Theoretical, Mathematical and Computational Physics Mathematik Symmetrischer Raum (DE-588)4184206-6 gnd rswk-swf Kugelfunktion (DE-588)4033494-6 gnd rswk-swf Reduktive Gruppe (DE-588)4177313-5 gnd rswk-swf Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Sphäroidfunktion (DE-588)4182234-1 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Kugelfunktion (DE-588)4033494-6 s Reduktive Gruppe (DE-588)4177313-5 s Harmonische Analyse (DE-588)4023453-8 s 1\p DE-604 Symmetrischer Raum (DE-588)4184206-6 s 2\p DE-604 Halbeinfache Lie-Gruppe (DE-588)4122188-6 s 3\p DE-604 Sphäroidfunktion (DE-588)4182234-1 s 4\p DE-604 Lie-Gruppe (DE-588)4035695-4 s 5\p DE-604 Varadarajan, Veeravalli S. Sonstige oth https://doi.org/10.1007/978-3-642-72956-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gangolli, Ramesh Harmonic Analysis of Spherical Functions on Real Reductive Groups Mathematics Topological Groups Differential equations, partial Topological Groups, Lie Groups Partial Differential Equations Theoretical, Mathematical and Computational Physics Mathematik Symmetrischer Raum (DE-588)4184206-6 gnd Kugelfunktion (DE-588)4033494-6 gnd Reduktive Gruppe (DE-588)4177313-5 gnd Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd Harmonische Analyse (DE-588)4023453-8 gnd Sphäroidfunktion (DE-588)4182234-1 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| subject_GND | (DE-588)4184206-6 (DE-588)4033494-6 (DE-588)4177313-5 (DE-588)4122188-6 (DE-588)4023453-8 (DE-588)4182234-1 (DE-588)4035695-4 |
| title | Harmonic Analysis of Spherical Functions on Real Reductive Groups |
| title_auth | Harmonic Analysis of Spherical Functions on Real Reductive Groups |
| title_exact_search | Harmonic Analysis of Spherical Functions on Real Reductive Groups |
| title_full | Harmonic Analysis of Spherical Functions on Real Reductive Groups by Ramesh Gangolli, Veeravalli S. Varadarajan |
| title_fullStr | Harmonic Analysis of Spherical Functions on Real Reductive Groups by Ramesh Gangolli, Veeravalli S. Varadarajan |
| title_full_unstemmed | Harmonic Analysis of Spherical Functions on Real Reductive Groups by Ramesh Gangolli, Veeravalli S. Varadarajan |
| title_short | Harmonic Analysis of Spherical Functions on Real Reductive Groups |
| title_sort | harmonic analysis of spherical functions on real reductive groups |
| topic | Mathematics Topological Groups Differential equations, partial Topological Groups, Lie Groups Partial Differential Equations Theoretical, Mathematical and Computational Physics Mathematik Symmetrischer Raum (DE-588)4184206-6 gnd Kugelfunktion (DE-588)4033494-6 gnd Reduktive Gruppe (DE-588)4177313-5 gnd Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd Harmonische Analyse (DE-588)4023453-8 gnd Sphäroidfunktion (DE-588)4182234-1 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| topic_facet | Mathematics Topological Groups Differential equations, partial Topological Groups, Lie Groups Partial Differential Equations Theoretical, Mathematical and Computational Physics Mathematik Symmetrischer Raum Kugelfunktion Reduktive Gruppe Halbeinfache Lie-Gruppe Harmonische Analyse Sphäroidfunktion Lie-Gruppe |
| url | https://doi.org/10.1007/978-3-642-72956-0 |
| work_keys_str_mv | AT gangolliramesh harmonicanalysisofsphericalfunctionsonrealreductivegroups AT varadarajanveeravallis harmonicanalysisofsphericalfunctionsonrealreductivegroups |