Combinatorial theory of the free product with amalgamation and operator-valued free probability theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Soc.
1998
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
627 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 132, Number 627 (third of 5 numbers) |
| Physical Description: | VIII, 88 S. |
| ISBN: | 0821806939 |
Staff View
MARC
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| 245 | 1 | 0 | |a Combinatorial theory of the free product with amalgamation and operator-valued free probability theory |c Roland Speicher |
| 264 | 1 | |a Providence, RI |b American Mathematical Soc. |c 1998 | |
| 300 | |a VIII, 88 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 627 | |
| 500 | |a Volume 132, Number 627 (third of 5 numbers) | ||
| 650 | 7 | |a Niet-commutatieve structuren |2 gtt | |
| 650 | 7 | |a Operatortheorie |2 gtt | |
| 650 | 7 | |a Waarschijnlijkheid (statistiek) |2 gtt | |
| 650 | 4 | |a Combinatorial analysis | |
| 650 | 4 | |a Free probability theory | |
| 650 | 4 | |a Free products (Group theory) | |
| 650 | 4 | |a Operator-valued functions | |
| 650 | 4 | |a Selfadjoint operators | |
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| 650 | 0 | 7 | |a Selbstadjungierter Operator |0 (DE-588)4180810-1 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1804126534811779072 |
|---|---|
| adam_text | CONTENTS
Introduction 1
Chapter I. Preliminaries on non crossing partitions 3
1.1. Non crossing partitions 3
1.2. Incidence algebra and convolution 6
1.3. Multiplicative functions 7
Chapter II. Operator valued multiplicative functions on
the lattice of non crossing partitions 11
2.1. Operator valued multiplicative functions 11
2.2. Connection between / and /*£ 15
2.3. Special case I = I(C,C) 17
2.4. Tracial multiplicative functions 21
2.5. Product and cluster property 22
Chapter III. Amalgamated free products 26
3.1. Basic notations 26
3.2. Moment and cumulant functions 27
3.3. Definition of the amalgamated free product 32
3.4. Explicit formula for tp * p2 35
3.5. Positivity of the amalgamated free product 42
Chapter IV. Operator valued free probability theory 47
4.1. B valued random variables and free convolution 47
4.2. B Gaussian distributions and central limit theorem 54
4.3. Positivity of B Gaussian distributions 56
4.4. Compound B Poisson distributions 59
4.5. Infinitely divisible distributions 61
4.6. Pull Fock space over a Hilbert B bimodule 63
4.7. Realization of infinitely divisible distributions on a full Fock
space 70
Chapter V. Operator valued stochastic processes and
stochastic differential equations 74
5.1. B valued stochastic processes 74
5.2. Formulation of the problem 77
5.3. Possible solutions of the problem 78
5.4. Gaussian approximation 83
Bibliography 85
|
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| dewey-full | 512/.55 510 |
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| id | DE-604.BV011947447 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:18:59Z |
| institution | BVB |
| isbn | 0821806939 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008077242 |
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| physical | VIII, 88 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | American Mathematical Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Speicher, Roland 1960- Verfasser (DE-588)111876451 aut Combinatorial theory of the free product with amalgamation and operator-valued free probability theory Roland Speicher Providence, RI American Mathematical Soc. 1998 VIII, 88 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 627 Volume 132, Number 627 (third of 5 numbers) Niet-commutatieve structuren gtt Operatortheorie gtt Waarschijnlijkheid (statistiek) gtt Combinatorial analysis Free probability theory Free products (Group theory) Operator-valued functions Selfadjoint operators Operatorfunktion (DE-588)4202830-9 gnd rswk-swf Freies Produkt (DE-588)4155302-0 gnd rswk-swf Kombinatorische Analysis (DE-588)4164746-4 gnd rswk-swf Selbstadjungierter Operator (DE-588)4180810-1 gnd rswk-swf Operatorfunktion (DE-588)4202830-9 s Selbstadjungierter Operator (DE-588)4180810-1 s Freies Produkt (DE-588)4155302-0 s Kombinatorische Analysis (DE-588)4164746-4 s DE-604 American Mathematical Society: Memoirs of the American Mathematical Society 627 (DE-604)BV008000141 627 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008077242&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Speicher, Roland 1960- Combinatorial theory of the free product with amalgamation and operator-valued free probability theory American Mathematical Society: Memoirs of the American Mathematical Society Niet-commutatieve structuren gtt Operatortheorie gtt Waarschijnlijkheid (statistiek) gtt Combinatorial analysis Free probability theory Free products (Group theory) Operator-valued functions Selfadjoint operators Operatorfunktion (DE-588)4202830-9 gnd Freies Produkt (DE-588)4155302-0 gnd Kombinatorische Analysis (DE-588)4164746-4 gnd Selbstadjungierter Operator (DE-588)4180810-1 gnd |
| subject_GND | (DE-588)4202830-9 (DE-588)4155302-0 (DE-588)4164746-4 (DE-588)4180810-1 |
| title | Combinatorial theory of the free product with amalgamation and operator-valued free probability theory |
| title_auth | Combinatorial theory of the free product with amalgamation and operator-valued free probability theory |
| title_exact_search | Combinatorial theory of the free product with amalgamation and operator-valued free probability theory |
| title_full | Combinatorial theory of the free product with amalgamation and operator-valued free probability theory Roland Speicher |
| title_fullStr | Combinatorial theory of the free product with amalgamation and operator-valued free probability theory Roland Speicher |
| title_full_unstemmed | Combinatorial theory of the free product with amalgamation and operator-valued free probability theory Roland Speicher |
| title_short | Combinatorial theory of the free product with amalgamation and operator-valued free probability theory |
| title_sort | combinatorial theory of the free product with amalgamation and operator valued free probability theory |
| topic | Niet-commutatieve structuren gtt Operatortheorie gtt Waarschijnlijkheid (statistiek) gtt Combinatorial analysis Free probability theory Free products (Group theory) Operator-valued functions Selfadjoint operators Operatorfunktion (DE-588)4202830-9 gnd Freies Produkt (DE-588)4155302-0 gnd Kombinatorische Analysis (DE-588)4164746-4 gnd Selbstadjungierter Operator (DE-588)4180810-1 gnd |
| topic_facet | Niet-commutatieve structuren Operatortheorie Waarschijnlijkheid (statistiek) Combinatorial analysis Free probability theory Free products (Group theory) Operator-valued functions Selfadjoint operators Operatorfunktion Freies Produkt Kombinatorische Analysis Selbstadjungierter Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008077242&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT speicherroland combinatorialtheoryofthefreeproductwithamalgamationandoperatorvaluedfreeprobabilitytheory |