Harmonic analysis and representation theory for groups acting on homogeneous trees:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge u.a.
Cambridge Univ. Press
1991
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | London Mathematical Society: London Mathematical Society lecture note series
162 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 151 S. graph. Darst. |
| ISBN: | 0521424445 |
Internformat
MARC
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| 245 | 1 | 0 | |a Harmonic analysis and representation theory for groups acting on homogeneous trees |c Alessandro Figà-Talamanca and Claudio Nebbia |
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| 264 | 1 | |a Cambridge u.a. |b Cambridge Univ. Press |c 1991 | |
| 300 | |a IX, 151 S. |b graph. Darst. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a London Mathematical Society: London Mathematical Society lecture note series |v 162 | |
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| 650 | 7 | |a Analyse harmonique |2 ram | |
| 650 | 4 | |a Arbres (Théorie des graphes) | |
| 650 | 7 | |a Automorphismes |2 ram | |
| 650 | 7 | |a Harmonische analyse |2 gtt | |
| 650 | 7 | |a Representatie (wiskunde) |2 gtt | |
| 650 | 4 | |a Représentations de groupes | |
| 650 | 7 | |a Représentations de groupes |2 ram | |
| 650 | 4 | |a Automorphisms | |
| 650 | 4 | |a Harmonic analysis | |
| 650 | 4 | |a Representations of groups | |
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Datensatz im Suchindex
| _version_ | 1804123331705700352 |
|---|---|
| adam_text | CONTENTS
Preface v|j
Chapter I
1) Graphs and trees 1
2) The free group as a tree 5
3) Automorphisms of a tree 6
4) The group of automorphisms AutC*.) 10
5) Compact maximal subgroups 12
6) Discrete subgroups 14
7) Cayley graphs which are trees 16
8) Amenable subgroups 18
9) Orbits of amenable subgroups 24
10) Groups with transitive action
on the boundary 26
11) Notes and remarks 31
Chapter II
1) Eigent unctions of the Laplace operator 34
2) Spherical functions 41
3) Intertwining operators 44
4) The Gelfand pair (G,K) 46
5) Spherical representations 50
vi
6) The resolvent of the Laplace operator
and the spherical Plancherel formula 56
7) The restriction problem 63
8) Construction and boundedness of P 66
e
9) Approximating the projection P 68
10) The constant I is a cyclic vector 74
11) Notes and remarks 80
Chapter III
1) A classification of unitary representations 84
2) Special representations 87
3) Cuspidal representations and the Plancherel
formula of AutU) 98
4) Notes and remarks 114
Appendix
1) p adic fields 119
2) A locally compact field of characteristic p 120
3) Locally compact totally disconnected fields 122
4) Two dimensional lattices 125
5) The tree of PGL(2,g) 127
References 138
Symbols 144
Index 147
|
| any_adam_object | 1 |
| author | Figà-Talamanca, Alessandro Nebbia, Claudio |
| author_facet | Figà-Talamanca, Alessandro Nebbia, Claudio |
| author_role | aut aut |
| author_sort | Figà-Talamanca, Alessandro |
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| building | Verbundindex |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 320 SK 260 SK 450 |
| ctrlnum | (OCoLC)24177045 (DE-599)BVBBV008989796 |
| dewey-full | 515.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.2433 |
| dewey-search | 515.2433 |
| dewey-sort | 3515.2433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV008989796 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:28:05Z |
| institution | BVB |
| isbn | 0521424445 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005939207 |
| oclc_num | 24177045 |
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| owner_facet | DE-29T DE-384 DE-12 DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-11 DE-188 |
| physical | IX, 151 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society: London Mathematical Society lecture note series |
| series2 | London Mathematical Society: London Mathematical Society lecture note series |
| spelling | Figà-Talamanca, Alessandro Verfasser aut Harmonic analysis and representation theory for groups acting on homogeneous trees Alessandro Figà-Talamanca and Claudio Nebbia 1. publ. Cambridge u.a. Cambridge Univ. Press 1991 IX, 151 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society: London Mathematical Society lecture note series 162 Analyse harmonique Analyse harmonique ram Arbres (Théorie des graphes) Automorphismes ram Harmonische analyse gtt Representatie (wiskunde) gtt Représentations de groupes Représentations de groupes ram Automorphisms Harmonic analysis Representations of groups Automorphismengruppe (DE-588)4143708-1 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Irreduzible Darstellung (DE-588)4162430-0 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Homogener Baum (DE-588)4160584-6 gnd rswk-swf Homogener Baum (DE-588)4160584-6 s Automorphismengruppe (DE-588)4143708-1 s Irreduzible Darstellung (DE-588)4162430-0 s DE-604 Darstellungstheorie (DE-588)4148816-7 s Harmonische Analyse (DE-588)4023453-8 s DE-188 Nebbia, Claudio Verfasser aut London Mathematical Society: London Mathematical Society lecture note series 162 (DE-604)BV000000130 162 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005939207&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Figà-Talamanca, Alessandro Nebbia, Claudio Harmonic analysis and representation theory for groups acting on homogeneous trees London Mathematical Society: London Mathematical Society lecture note series Analyse harmonique Analyse harmonique ram Arbres (Théorie des graphes) Automorphismes ram Harmonische analyse gtt Representatie (wiskunde) gtt Représentations de groupes Représentations de groupes ram Automorphisms Harmonic analysis Representations of groups Automorphismengruppe (DE-588)4143708-1 gnd Darstellungstheorie (DE-588)4148816-7 gnd Irreduzible Darstellung (DE-588)4162430-0 gnd Harmonische Analyse (DE-588)4023453-8 gnd Homogener Baum (DE-588)4160584-6 gnd |
| subject_GND | (DE-588)4143708-1 (DE-588)4148816-7 (DE-588)4162430-0 (DE-588)4023453-8 (DE-588)4160584-6 |
| title | Harmonic analysis and representation theory for groups acting on homogeneous trees |
| title_auth | Harmonic analysis and representation theory for groups acting on homogeneous trees |
| title_exact_search | Harmonic analysis and representation theory for groups acting on homogeneous trees |
| title_full | Harmonic analysis and representation theory for groups acting on homogeneous trees Alessandro Figà-Talamanca and Claudio Nebbia |
| title_fullStr | Harmonic analysis and representation theory for groups acting on homogeneous trees Alessandro Figà-Talamanca and Claudio Nebbia |
| title_full_unstemmed | Harmonic analysis and representation theory for groups acting on homogeneous trees Alessandro Figà-Talamanca and Claudio Nebbia |
| title_short | Harmonic analysis and representation theory for groups acting on homogeneous trees |
| title_sort | harmonic analysis and representation theory for groups acting on homogeneous trees |
| topic | Analyse harmonique Analyse harmonique ram Arbres (Théorie des graphes) Automorphismes ram Harmonische analyse gtt Representatie (wiskunde) gtt Représentations de groupes Représentations de groupes ram Automorphisms Harmonic analysis Representations of groups Automorphismengruppe (DE-588)4143708-1 gnd Darstellungstheorie (DE-588)4148816-7 gnd Irreduzible Darstellung (DE-588)4162430-0 gnd Harmonische Analyse (DE-588)4023453-8 gnd Homogener Baum (DE-588)4160584-6 gnd |
| topic_facet | Analyse harmonique Arbres (Théorie des graphes) Automorphismes Harmonische analyse Representatie (wiskunde) Représentations de groupes Automorphisms Harmonic analysis Representations of groups Automorphismengruppe Darstellungstheorie Irreduzible Darstellung Harmonische Analyse Homogener Baum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005939207&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000130 |
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