Toeplitz operators and index theory in several complex variables:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Basel ; Boston ; Berlin
Birkhäuser
1996
|
| Schriftenreihe: | Operator theory
81 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 481 S. graph. Darst. |
| ISBN: | 3764352825 0817652825 |
Internformat
MARC
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| 100 | 1 | |a Upmeier, Harald |d 1950- |e Verfasser |0 (DE-588)1012247481 |4 aut | |
| 245 | 1 | 0 | |a Toeplitz operators and index theory in several complex variables |c Harald Upmeier |
| 264 | 1 | |a Basel ; Boston ; Berlin |b Birkhäuser |c 1996 | |
| 300 | |a 481 S. |c graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Operator theory |v 81 | |
| 650 | 7 | |a C-algèbre |2 inriac | |
| 650 | 7 | |a Fonctions de plusieurs variables complexes |2 ram | |
| 650 | 7 | |a Fonctions holomorphes |2 ram | |
| 650 | 7 | |a Index, théorie de l' (Mathématiques) |2 ram | |
| 650 | 7 | |a Toeplitz, opérateurs de |2 ram | |
| 650 | 7 | |a Toeplitz-operatoren |2 gtt | |
| 650 | 7 | |a analyse harmonique |2 inriac | |
| 650 | 7 | |a domaine holomorphe |2 inriac | |
| 650 | 7 | |a espace Hilbert |2 inriac | |
| 650 | 7 | |a opérateur Toeplitz |2 inriac | |
| 650 | 7 | |a variable complexe |2 inriac | |
| 650 | 4 | |a Functions of several complex variables | |
| 650 | 4 | |a Holomorphic functions | |
| 650 | 4 | |a Index theory (Mathematics) | |
| 650 | 4 | |a Toeplitz operators | |
| 650 | 0 | 7 | |a Toeplitz-Operator |0 (DE-588)4191521-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Indextheorie |0 (DE-588)4161489-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Holomorphe Funktion |0 (DE-588)4025645-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Toeplitz-Operator |0 (DE-588)4191521-5 |D s |
| 689 | 0 | 1 | |a Indextheorie |0 (DE-588)4161489-6 |D s |
| 689 | 0 | 2 | |a Holomorphe Funktion |0 (DE-588)4025645-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Operator theory |v 81 |w (DE-604)BV000000970 |9 81 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-007043848 | ||
Datensatz im Suchindex
| _version_ | 1804125035323981824 |
|---|---|
| adam_text | Table of Contents
Introduction
1 . Multi variable Complex Analysis and Domains
of Holomorphy
1.0 Introduction 1
1. l Holomorphic Functions in Several Complex
Variables 2
1.2 Pseudoconvex Domains 5
1.3 Tubular Domains 11
1.4 Polycircular Domains 30
1.5 Symmetric Domains 43
1.6 K circular Domains 67
1.7 S bicircular Domains 73
2. Harmonic Analysis on Hilbert Spaces of Holomorphic
Functions
2.0 Introduction 77
2.1 Bergman Spaces Over Pseudoconvex Domains 79
2.2 Hardy Spaces Over Strictly Pseudoconvex Domains 86
2.3 Hardy Spaces Over Tubular Domains 90
2.4 Bergman Spaces Over Tubular Domains 96
2.5 Hardy Spaces Over Polycircular Domains 108
2.6 Bergman Spaces Over Polycircular Domains 113
2.7 The Segal Bargmann Space of a Hermitian
Vector Space 115
2.8 Hardy Spaces Over Symmetric Domains 125
2.9 Bergman Spaces Over Symmetric Domains 141
2.10 Hardy Spaces Over K circular Domains 154
2.11 Hardy Spaces Over S bicircular Domains 169
3. Multiplier C* Algebras and Their Representations
3.0 Introduction 175
3.1 Hardy Multipliers Over Tubular Domains 176
3.2 Bergman Multipliers Over Tubular Domains 185
3.3 Hardy Multipliers Over Polycircular Domains 188
3.4 Bergman Multipliers Over Polycircular Domains 195
3.5 Hardy Multipliers Over K circular Domains 204
3.6 Hardy Multipliers Over Symmetric Domains 217
3.7 Hardy Multipliers Over S bicircular Domains 233
4. Toeplitz Operators and Tocplitz C* Algebras
4.0 Introduction 241
4.1 Bergman Toeplitz Operators Over Bounded
Domains 242
4.2 Hardy Toeplitz Operators Over Strictly
Pseudoconvex Domains 250
4.3 Groupoid C* Algebras 256
4.4 Hardy Toeplitz Operators Over Tubular Domains 267
4.5 Bergman Toeplitz Operators Over Tubular
Domains 278
4.6 Hardy Toeplitz Operators Over Polycircular
Domains 284
4.7 Bergman Toeplitz Operators Over Polycircular
Domains 290
4.8 Hopf C* Algebras 299
4.9 Actions and Coactions on C Algebras 310
4.10 Hardy Toeplitz Operators Over K circular
Domains 316
4.11 Hardy Toeplitz Operators Over Symmetric
Domains 325
4.12 Bergman Toeplitz Operators Over Symmetric
Domains 361
5. Index Theory for Multivariable Toeplitz Operators
5.0 Introduction 371
5.1 K Theory for Topological Spaces 372
5.2 Index Theory for Strictly Pseudoconvex Domains 384
5.3 K Theory for C* Algebras 394
5.4 Index Theory for Symmetric Domains 400
5.5 Index Theory for Tubular Domains 432
5.6 Index Theory for Polycircular Domains 455
References 462
Index of Symbols and Notations 471
|
| any_adam_object | 1 |
| author | Upmeier, Harald 1950- |
| author_GND | (DE-588)1012247481 |
| author_facet | Upmeier, Harald 1950- |
| author_role | aut |
| author_sort | Upmeier, Harald 1950- |
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| building | Verbundindex |
| bvnumber | BV010564320 |
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| classification_rvk | SK 620 |
| classification_tum | MAT 472f |
| ctrlnum | (OCoLC)34076315 (DE-599)BVBBV010564320 |
| dewey-full | 515/.7246 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010564320 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:55:09Z |
| institution | BVB |
| isbn | 3764352825 0817652825 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007043848 |
| oclc_num | 34076315 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-634 DE-11 DE-188 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-634 DE-11 DE-188 |
| physical | 481 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Operator theory |
| series2 | Operator theory |
| spelling | Upmeier, Harald 1950- Verfasser (DE-588)1012247481 aut Toeplitz operators and index theory in several complex variables Harald Upmeier Basel ; Boston ; Berlin Birkhäuser 1996 481 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Operator theory 81 C-algèbre inriac Fonctions de plusieurs variables complexes ram Fonctions holomorphes ram Index, théorie de l' (Mathématiques) ram Toeplitz, opérateurs de ram Toeplitz-operatoren gtt analyse harmonique inriac domaine holomorphe inriac espace Hilbert inriac opérateur Toeplitz inriac variable complexe inriac Functions of several complex variables Holomorphic functions Index theory (Mathematics) Toeplitz operators Toeplitz-Operator (DE-588)4191521-5 gnd rswk-swf Indextheorie (DE-588)4161489-6 gnd rswk-swf Holomorphe Funktion (DE-588)4025645-5 gnd rswk-swf Toeplitz-Operator (DE-588)4191521-5 s Indextheorie (DE-588)4161489-6 s Holomorphe Funktion (DE-588)4025645-5 s DE-604 Operator theory 81 (DE-604)BV000000970 81 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007043848&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Upmeier, Harald 1950- Toeplitz operators and index theory in several complex variables Operator theory C-algèbre inriac Fonctions de plusieurs variables complexes ram Fonctions holomorphes ram Index, théorie de l' (Mathématiques) ram Toeplitz, opérateurs de ram Toeplitz-operatoren gtt analyse harmonique inriac domaine holomorphe inriac espace Hilbert inriac opérateur Toeplitz inriac variable complexe inriac Functions of several complex variables Holomorphic functions Index theory (Mathematics) Toeplitz operators Toeplitz-Operator (DE-588)4191521-5 gnd Indextheorie (DE-588)4161489-6 gnd Holomorphe Funktion (DE-588)4025645-5 gnd |
| subject_GND | (DE-588)4191521-5 (DE-588)4161489-6 (DE-588)4025645-5 |
| title | Toeplitz operators and index theory in several complex variables |
| title_auth | Toeplitz operators and index theory in several complex variables |
| title_exact_search | Toeplitz operators and index theory in several complex variables |
| title_full | Toeplitz operators and index theory in several complex variables Harald Upmeier |
| title_fullStr | Toeplitz operators and index theory in several complex variables Harald Upmeier |
| title_full_unstemmed | Toeplitz operators and index theory in several complex variables Harald Upmeier |
| title_short | Toeplitz operators and index theory in several complex variables |
| title_sort | toeplitz operators and index theory in several complex variables |
| topic | C-algèbre inriac Fonctions de plusieurs variables complexes ram Fonctions holomorphes ram Index, théorie de l' (Mathématiques) ram Toeplitz, opérateurs de ram Toeplitz-operatoren gtt analyse harmonique inriac domaine holomorphe inriac espace Hilbert inriac opérateur Toeplitz inriac variable complexe inriac Functions of several complex variables Holomorphic functions Index theory (Mathematics) Toeplitz operators Toeplitz-Operator (DE-588)4191521-5 gnd Indextheorie (DE-588)4161489-6 gnd Holomorphe Funktion (DE-588)4025645-5 gnd |
| topic_facet | C-algèbre Fonctions de plusieurs variables complexes Fonctions holomorphes Index, théorie de l' (Mathématiques) Toeplitz, opérateurs de Toeplitz-operatoren analyse harmonique domaine holomorphe espace Hilbert opérateur Toeplitz variable complexe Functions of several complex variables Holomorphic functions Index theory (Mathematics) Toeplitz operators Toeplitz-Operator Indextheorie Holomorphe Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007043848&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000970 |
| work_keys_str_mv | AT upmeierharald toeplitzoperatorsandindextheoryinseveralcomplexvariables |