The spectral theorem:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1986
|
| Series: | Lecture notes in mathematics
1227 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 103 S. |
| ISBN: | 3540171975 0387171975 |
Staff View
MARC
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| 245 | 1 | 0 | |a The spectral theorem |c Henry Helson |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1986 | |
| 300 | |a VI, 103 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1227 | |
| 490 | 1 | |a Lecture notes in mathematics / Subseries: Nankai Institute of Mathematics, Tianjin, P.R. China |v 1 | |
| 650 | 7 | |a Matematica |2 larpcal | |
| 650 | 7 | |a Operadores (Analise Funcional) |2 larpcal | |
| 650 | 4 | |a Spectre (Mathématiques) | |
| 650 | 4 | |a Spectral theory (Mathematics) | |
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| 650 | 0 | 7 | |a Spektraltheorie |0 (DE-588)4116561-5 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1805071495701987328 |
|---|---|
| adam_text |
Contents
Foreword III
Chapter 1 Multiplicity of Spectral Measures
1 • A lemma from set theory 1
2. Function space 3
3. Range functions 6
4. Equivalence of range functions 9
5. Spectral measures 12
6. Functional calculus 14
7. The main theorem 17
8. Odds and ends 20
Chapter 2 The Spectral Theorem
1. Stone's theorem 23
2. Beurling's theorem 29
3. Representation of self adjoint operators 31
4. Representation of normal operators 34
5. Riemann sums! commuting operators 36
6. Functions of operators 39
Chapter 3 Bochner's theorem
1. Positive definite functions 42
2. Proof of the theorems 44
3. Kolmogorov's extension theorem 49
VI
Chapter 4 Distribution of Cocydes
1. Multiplicative cocydes 53
2. Additive cocydes 57
3. Additive cocydes, continued 61
4. A theorem on Diophantine approximation 64
5. Trivial cocydes 69
6. Theorems of Hamachit Oka and Osikawa!
and of Moore and Schmidt 73
Chapter 5 Cocydes on the Line
1. Beurling's theorem 76
2. Theorem of Stone and von Neumann 82
3. Cocydes on countable groups 37
4. Extensions of cocydes 91
5t The group with two generators 95
6. Finale 99
References 102
Index 104 |
| any_adam_object | 1 |
| author | Helson, Henry 1927-2010 |
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| classification_rvk | SI 850 |
| classification_tum | MAT 470f |
| ctrlnum | (OCoLC)231969334 (DE-599)BVBBV009208704 |
| dewey-full | 515.7/24 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515.7/24 510 |
| dewey-search | 515.7/24 510 |
| dewey-sort | 3515.7 224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-20T04:38:44Z |
| institution | BVB |
| isbn | 3540171975 0387171975 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006120013 |
| oclc_num | 231969334 |
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| physical | VI, 103 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics Lecture notes in mathematics / Subseries: Nankai Institute of Mathematics, Tianjin, P.R. China |
| spelling | Helson, Henry 1927-2010 Verfasser (DE-588)143377485 aut The spectral theorem Henry Helson Berlin [u.a.] Springer 1986 VI, 103 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1227 Lecture notes in mathematics / Subseries: Nankai Institute of Mathematics, Tianjin, P.R. China 1 Matematica larpcal Operadores (Analise Funcional) larpcal Spectre (Mathématiques) Spectral theory (Mathematics) Spektralsatz (DE-588)4200378-7 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Spektralmaß (DE-588)4182167-1 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 s DE-604 Spektralsatz (DE-588)4200378-7 s Operatortheorie (DE-588)4075665-8 s Spektralmaß (DE-588)4182167-1 s Subseries: Nankai Institute of Mathematics, Tianjin, P.R. China Lecture notes in mathematics 1 (DE-604)BV001897825 1 Lecture notes in mathematics 1227 (DE-604)BV000676446 1227 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006120013&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Helson, Henry 1927-2010 The spectral theorem Lecture notes in mathematics Matematica larpcal Operadores (Analise Funcional) larpcal Spectre (Mathématiques) Spectral theory (Mathematics) Spektralsatz (DE-588)4200378-7 gnd Spektraltheorie (DE-588)4116561-5 gnd Spektralmaß (DE-588)4182167-1 gnd Operatortheorie (DE-588)4075665-8 gnd |
| subject_GND | (DE-588)4200378-7 (DE-588)4116561-5 (DE-588)4182167-1 (DE-588)4075665-8 |
| title | The spectral theorem |
| title_auth | The spectral theorem |
| title_exact_search | The spectral theorem |
| title_full | The spectral theorem Henry Helson |
| title_fullStr | The spectral theorem Henry Helson |
| title_full_unstemmed | The spectral theorem Henry Helson |
| title_short | The spectral theorem |
| title_sort | the spectral theorem |
| topic | Matematica larpcal Operadores (Analise Funcional) larpcal Spectre (Mathématiques) Spectral theory (Mathematics) Spektralsatz (DE-588)4200378-7 gnd Spektraltheorie (DE-588)4116561-5 gnd Spektralmaß (DE-588)4182167-1 gnd Operatortheorie (DE-588)4075665-8 gnd |
| topic_facet | Matematica Operadores (Analise Funcional) Spectre (Mathématiques) Spectral theory (Mathematics) Spektralsatz Spektraltheorie Spektralmaß Operatortheorie |
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