Eigenfunction expansions, operator algebras and Riemannian symmetric spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow, Essex
Longman
1996
|
| Edition: | 1. publ. |
| Series: | Pitman research notes in mathematics series
355 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 147 S. |
| ISBN: | 0582276349 |
Staff View
MARC
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| 100 | 1 | |a Kauffmann, Robert M. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Eigenfunction expansions, operator algebras and Riemannian symmetric spaces |c Robert M. Kauffmann |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow, Essex |b Longman |c 1996 | |
| 300 | |a 147 S. | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
1 Introduction 3
1.1 What The Book Is About 3
1.2 Forward 6
1.3 Operator Algebras 7
1.4 Aspirations for Generalized Eigenprojection Expansions .... 8
1.4.1 What are Generalized Eigenprojections and General¬
ized Eigenfunctions? 8
1.4.2 What is an Expansion? 9
1.5 Differential Geometry 11
1.6 Thanks 12
2 Some Background Material 15
2.1 A Brief Look at Differential Geometry 16
2.1.1 Symmetric Spaces 21
2.1.2 Lie groups 22
2.2 Locally Convex Topological Vector Spaces 28
2.3 Von Neumann Algebras 34
2.4 Trace Class and Hilbert Schmidt Operators 40
2.5 Montel and Barrelled Spaces 42
2.6 Vector Valued Functions, Measures and Integrals 49
2.7 Unbounded Operator Theory 54
2.7.1 Differential Operators 60
2.8 Expressions and Operators 63
2.9 Hausdorff measure 65
3 Generalized Eigenprojection Expansions 69
3.1 General Framework 70
3.2 Multiplicity 84
1
4 Eigenfunction Expansions on Cn 89
4.1 Some Algebras 90
4.2 A Single Cyclic Subspace 93
4.3 Spectral Banach Spaces 99
4.4 Cutoff Spaces and the Joint Spectrum 100
4.5 Uniqueness of the Expansion 101
4.6 The Spectral Measure on a Cyclic Subspace 102
5 When A Exists 107
6 Differential Operators on Riemannian Manifolds 111
6.1 Partial Differential Operators 111
6.2 Ordinary Differential Operators 118
7 Operator Algebras and Symmetric Spaces 127
8 Spaces of Noncompact Type 135
|
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| edition | 1. publ. |
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| id | DE-604.BV011124302 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:04:23Z |
| institution | BVB |
| isbn | 0582276349 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007453769 |
| oclc_num | 246852572 |
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| owner | DE-12 DE-824 DE-91G DE-BY-TUM |
| owner_facet | DE-12 DE-824 DE-91G DE-BY-TUM |
| physical | 147 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Longman |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Kauffmann, Robert M. Verfasser aut Eigenfunction expansions, operator algebras and Riemannian symmetric spaces Robert M. Kauffmann 1. publ. Harlow, Essex Longman 1996 147 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 355 Eigenfunction expansions Operator theory Operators (Mathematics) Operatoralgebra (DE-588)4129366-6 gnd rswk-swf Eigenfunktion (DE-588)4151167-0 gnd rswk-swf Eigenfunktion (DE-588)4151167-0 s Operatoralgebra (DE-588)4129366-6 s DE-604 Pitman research notes in mathematics series 355 (DE-604)BV000022845 355 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007453769&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kauffmann, Robert M. Eigenfunction expansions, operator algebras and Riemannian symmetric spaces Pitman research notes in mathematics series Eigenfunction expansions Operator theory Operators (Mathematics) Operatoralgebra (DE-588)4129366-6 gnd Eigenfunktion (DE-588)4151167-0 gnd |
| subject_GND | (DE-588)4129366-6 (DE-588)4151167-0 |
| title | Eigenfunction expansions, operator algebras and Riemannian symmetric spaces |
| title_auth | Eigenfunction expansions, operator algebras and Riemannian symmetric spaces |
| title_exact_search | Eigenfunction expansions, operator algebras and Riemannian symmetric spaces |
| title_full | Eigenfunction expansions, operator algebras and Riemannian symmetric spaces Robert M. Kauffmann |
| title_fullStr | Eigenfunction expansions, operator algebras and Riemannian symmetric spaces Robert M. Kauffmann |
| title_full_unstemmed | Eigenfunction expansions, operator algebras and Riemannian symmetric spaces Robert M. Kauffmann |
| title_short | Eigenfunction expansions, operator algebras and Riemannian symmetric spaces |
| title_sort | eigenfunction expansions operator algebras and riemannian symmetric spaces |
| topic | Eigenfunction expansions Operator theory Operators (Mathematics) Operatoralgebra (DE-588)4129366-6 gnd Eigenfunktion (DE-588)4151167-0 gnd |
| topic_facet | Eigenfunction expansions Operator theory Operators (Mathematics) Operatoralgebra Eigenfunktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007453769&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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