Analysis on non-Riemannian symmetric spaces: [expository lectures from the CBMS regional conference held at the University of Georgia, June 18 - 22, 1984]
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathemat. Soc.
1986
|
| Series: | Regional conference series in mathematics
61 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 77 S. |
| ISBN: | 0821807110 |
Staff View
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Record in the Search Index
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| adam_text | Contents
Acknowledgments vii
Introduction ix
I. Structure and Classification of Symmetric Spaces 1
1.Affine symmetric spaces 1
2. Reductive symmetric spaces 3
3.Classification of irreducible semisimple symmetric spaces and examples 5
4. Symmetric triples—association and duality 9
Notes 11
II. Harmonic Analysis on Semisimple Symmetric Spaces 13
1.Invariant differential operators 14
2.The Plancherel formula and eigenspace representations 16
3.Examples 19
Notes 23
III. The Noncompact Riemannian Form A of a Semisimple Symmetric
Space X 25
1.The duality principle 25
2.Examples 27
Notes 31
IV. The Poisson Transform on a Symmetric Space of the Noncompact Type 33
1.The Poisson transform 33
2.Helgason s conjecture 34
3.Applications to the non Riemannian case 37
Notes 40
V. The // Orbits on the Boundary and the Corresponding Representations
of G 43
1 .Classification of the // orbits on GJ/PJ 44
2.Examples 45
3.Eigenspace representations in Sx( X) determined by the // orbits 46
Notes 47
v
Vi CONTENTS
VI. Representations Related to the Closed // Orbits 49
1 .Distributions on Gd/Pd supported on a closed // orbit 49
2.The (flc, //^ modules 9 KH*( S) for the closed // orbits 51
3.The main result 58
Notes 59
VII. The Discrete Series for a Semisimple Symmetric Space 61
1.Existence and almost classification of the discrete series 61
2.Examples 66
Notes 67
VIII. A Few Final Remarks 69
1 .The nonclosed orbits 69
2.Discrete series for G/H and Zuckerman s derived functor modules 71
Bibliography 73
|
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| institution | BVB |
| isbn | 0821807110 |
| language | English |
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| physical | X, 77 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
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| publisher | American Mathemat. Soc. |
| record_format | marc |
| series | Regional conference series in mathematics |
| series2 | Regional conference series in mathematics |
| spelling | Flensted-Jensen, Mogens 1942- Verfasser (DE-588)1074788540 aut Analysis on non-Riemannian symmetric spaces [expository lectures from the CBMS regional conference held at the University of Georgia, June 18 - 22, 1984] Mogens Flensted-Jensen Providence, RI American Mathemat. Soc. 1986 X, 77 S. txt rdacontent n rdamedia nc rdacarrier Regional conference series in mathematics 61 Symmetrischer Raum (DE-588)4184206-6 gnd rswk-swf Nichtriemannsche Geometrie (DE-588)4171784-3 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Symmetrischer Raum (DE-588)4184206-6 s DE-604 Nichtriemannsche Geometrie (DE-588)4171784-3 s Regional conference series in mathematics 61 (DE-604)BV000004346 61 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002326106&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Flensted-Jensen, Mogens 1942- Analysis on non-Riemannian symmetric spaces [expository lectures from the CBMS regional conference held at the University of Georgia, June 18 - 22, 1984] Regional conference series in mathematics Symmetrischer Raum (DE-588)4184206-6 gnd Nichtriemannsche Geometrie (DE-588)4171784-3 gnd |
| subject_GND | (DE-588)4184206-6 (DE-588)4171784-3 (DE-588)1071861417 |
| title | Analysis on non-Riemannian symmetric spaces [expository lectures from the CBMS regional conference held at the University of Georgia, June 18 - 22, 1984] |
| title_auth | Analysis on non-Riemannian symmetric spaces [expository lectures from the CBMS regional conference held at the University of Georgia, June 18 - 22, 1984] |
| title_exact_search | Analysis on non-Riemannian symmetric spaces [expository lectures from the CBMS regional conference held at the University of Georgia, June 18 - 22, 1984] |
| title_full | Analysis on non-Riemannian symmetric spaces [expository lectures from the CBMS regional conference held at the University of Georgia, June 18 - 22, 1984] Mogens Flensted-Jensen |
| title_fullStr | Analysis on non-Riemannian symmetric spaces [expository lectures from the CBMS regional conference held at the University of Georgia, June 18 - 22, 1984] Mogens Flensted-Jensen |
| title_full_unstemmed | Analysis on non-Riemannian symmetric spaces [expository lectures from the CBMS regional conference held at the University of Georgia, June 18 - 22, 1984] Mogens Flensted-Jensen |
| title_short | Analysis on non-Riemannian symmetric spaces |
| title_sort | analysis on non riemannian symmetric spaces expository lectures from the cbms regional conference held at the university of georgia june 18 22 1984 |
| title_sub | [expository lectures from the CBMS regional conference held at the University of Georgia, June 18 - 22, 1984] |
| topic | Symmetrischer Raum (DE-588)4184206-6 gnd Nichtriemannsche Geometrie (DE-588)4171784-3 gnd |
| topic_facet | Symmetrischer Raum Nichtriemannsche Geometrie Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002326106&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004346 |
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