Analysis on non-Riemannian symmetric spaces: [expository lectures from the CBMS regional conference held at the University of Georgia, June 18 - 22, 1984]
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, RI
American Mathemat. Soc.
1986
|
| Schriftenreihe: | Regional conference series in mathematics
61 |
| Schlagwörter: | |
| Links: | 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 |
| Umfang: | X, 77 S. |
| ISBN: | 0821807110 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV003652226 | ||
| 003 | DE-604 | ||
| 005 | 20170518 | ||
| 007 | t| | ||
| 008 | 900725s1986 xx |||| 10||| eng d | ||
| 020 | |a 0821807110 |9 0-8218-0711-0 | ||
| 035 | |a (OCoLC)441281973 | ||
| 035 | |a (DE-599)BVBBV003652226 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-739 |a DE-355 |a DE-384 |a DE-824 |a DE-29T |a DE-19 |a DE-11 |a DE-188 |a DE-83 | ||
| 080 | |a 512 | ||
| 084 | |a SI 195 |0 (DE-625)143098: |2 rvk | ||
| 084 | |a SK 350 |0 (DE-625)143233: |2 rvk | ||
| 084 | |a 43A85 |2 msc | ||
| 100 | 1 | |a Flensted-Jensen, Mogens |d 1942- |e Verfasser |0 (DE-588)1074788540 |4 aut | |
| 245 | 1 | 0 | |a Analysis on non-Riemannian symmetric spaces |b [expository lectures from the CBMS regional conference held at the University of Georgia, June 18 - 22, 1984] |c Mogens Flensted-Jensen |
| 264 | 1 | |a Providence, RI |b American Mathemat. Soc. |c 1986 | |
| 300 | |a X, 77 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Regional conference series in mathematics |v 61 | |
| 650 | 0 | 7 | |a Symmetrischer Raum |0 (DE-588)4184206-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtriemannsche Geometrie |0 (DE-588)4171784-3 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Symmetrischer Raum |0 (DE-588)4184206-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Symmetrischer Raum |0 (DE-588)4184206-6 |D s |
| 689 | 1 | 1 | |a Nichtriemannsche Geometrie |0 (DE-588)4171784-3 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a Regional conference series in mathematics |v 61 |w (DE-604)BV000004346 |9 61 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-002326106 | |
Datensatz im Suchindex
| _version_ | 1819276397464518656 |
|---|---|
| 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
|
| any_adam_object | 1 |
| author | Flensted-Jensen, Mogens 1942- |
| author_GND | (DE-588)1074788540 |
| author_facet | Flensted-Jensen, Mogens 1942- |
| author_role | aut |
| author_sort | Flensted-Jensen, Mogens 1942- |
| author_variant | m f j mfj |
| building | Verbundindex |
| bvnumber | BV003652226 |
| classification_rvk | SI 195 SK 350 |
| ctrlnum | (OCoLC)441281973 (DE-599)BVBBV003652226 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01905nam a2200433 cb4500</leader><controlfield tag="001">BV003652226</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20170518 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">900725s1986 xx |||| 10||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821807110</subfield><subfield code="9">0-8218-0711-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)441281973</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV003652226</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="080" ind1=" " ind2=" "><subfield code="a">512</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 195</subfield><subfield code="0">(DE-625)143098:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 350</subfield><subfield code="0">(DE-625)143233:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">43A85</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Flensted-Jensen, Mogens</subfield><subfield code="d">1942-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1074788540</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Analysis on non-Riemannian symmetric spaces</subfield><subfield code="b">[expository lectures from the CBMS regional conference held at the University of Georgia, June 18 - 22, 1984]</subfield><subfield code="c">Mogens Flensted-Jensen</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Mathemat. Soc.</subfield><subfield code="c">1986</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 77 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Regional conference series in mathematics</subfield><subfield code="v">61</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Symmetrischer Raum</subfield><subfield code="0">(DE-588)4184206-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtriemannsche Geometrie</subfield><subfield code="0">(DE-588)4171784-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)1071861417</subfield><subfield code="a">Konferenzschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Symmetrischer Raum</subfield><subfield code="0">(DE-588)4184206-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Symmetrischer Raum</subfield><subfield code="0">(DE-588)4184206-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Nichtriemannsche Geometrie</subfield><subfield code="0">(DE-588)4171784-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Regional conference series in mathematics</subfield><subfield code="v">61</subfield><subfield code="w">(DE-604)BV000004346</subfield><subfield code="9">61</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002326106</subfield></datafield></record></collection> |
| genre | (DE-588)1071861417 Konferenzschrift gnd-content |
| genre_facet | Konferenzschrift |
| id | DE-604.BV003652226 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T08:08:03Z |
| institution | BVB |
| isbn | 0821807110 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002326106 |
| oclc_num | 441281973 |
| open_access_boolean | |
| owner | DE-703 DE-739 DE-355 DE-BY-UBR DE-384 DE-824 DE-29T DE-19 DE-BY-UBM DE-11 DE-188 DE-83 |
| owner_facet | DE-703 DE-739 DE-355 DE-BY-UBR DE-384 DE-824 DE-29T DE-19 DE-BY-UBM DE-11 DE-188 DE-83 |
| physical | X, 77 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | American Mathemat. Soc. |
| record_format | marc |
| series | Regional conference series in mathematics |
| series2 | Regional conference series in mathematics |
| 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 |
| work_keys_str_mv | AT flenstedjensenmogens analysisonnonriemanniansymmetricspacesexpositorylecturesfromthecbmsregionalconferenceheldattheuniversityofgeorgiajune18221984 |