Structural aspects in the theory of probability: a primer in probabilities on algebraic-topological structures
Gespeichert in:
Beteilige Person: | |
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Format: | Buch |
Sprache: | Englisch |
Veröffentlicht: |
Singapore [u.a.]
World Scientific
2004
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Schriftenreihe: | Series on multivariate analysis
7 |
Schlagwörter: | |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013527029&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Umfang: | X, 388 S. |
ISBN: | 9812389377 |
Internformat
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Datensatz im Suchindex
DE-BY-TUM_call_number | 0102 MAT 601f 2008 A 8352 |
---|---|
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DE-BY-TUM_location | 01 |
DE-BY-TUM_media_number | 040010099471 |
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adam_text | STRUCTURAL ASPECTS IN THE THEORY OF PROBABILITY A PRIMER IN
PROBABILITIES ON ALGEBRAIC-TOPOLOGICAL STRUCTURES HERBERT HEYER
MATHEMATISCHES INSTITUT UNIVERSITAT TUBINGEN GERMANY WORLD SCIENTIFIC
NEW JERSEY * LONDON * SINGAPORE * BEIJING * SHANGHAI * HONGKONG * TAIPEI
* CHENNAI CONTENTS PREFACE V PROBABILITY MEASURES ON METRIC SPACES 1.1
TIGHT MEASURES 1 1.2 THE TOPOLOGY OF WEAK CONVERGENCE 6 1.3 THE PROHOROV
THEOREM 22 1.4 CONVOLUTION OF MEASURES 28 THE FOURIER TRANSFORM IN A
BANACH SPACE 2.1 FOURIER TRANSFORMS OF PROBABILITY MEASURES 34 2.2 SHIFT
COMPACT SETS OF PROBABILITY MEASURES 46 2.3 INFINITELY DIVISIBLE AND
EMBEDDABLE MEASURES 60 2.4 GAUSS AND POISSON MEASURES 68 THE STRUCTURE
OF INFINITELY DIVISIBLE PROBABILITY MEASURES 3.1 THE ITO-NISHIO THEOREM
86 3.2 FOURIER EXPANSION AND CONSTRUCTION OF BROWNIAN MOTION 104 3.3
SYMMETRIC LEVY MEASURES AND GENERALIZED POISSON MEASURES 118 3.4 THE
LEVY-KHINTCHINE DECOMPOSITION 138 X CONTENTS HARMONIC ANALYSIS OF
CONVOLUTION SEMIGROUPS 4.1 CONVOLUTION OF RADON MEASURES 161 4.2 DUALITY
OF LOCALLY COMPACT ABELIAN GROUPS 175 4.3 POSITIVE DEFINITE FUNCTIONS
198 4.4 POSITIVE DEFINITE MEASURES 209 NEGATIVE DEFINITE FUNCTIONS AND
CONVOLUTION SEMIGROUPS 5.1 NEGATIVE DEFINITE FUNCTIONS 227 5.2
CONVOLUTION SEMIGROUPS AND RESOLVENTS 236 5.3 LEVY FUNCTIONS 252 5.4 THE
LEVY-KHINTCHINE REPRESENTATION 261 PROBABILISTIC PROPERTIES OF
CONVOLUTION SEMIGROUPS 6.1 TRANSIENT CONVOLUTION SEMIGROUPS 274 6.2 THE
TRANSIENCE CRITERION 289 6.3 RECURRENT RANDOM WALKS 309 6.4
CLASSIFICATION OF TRANSIENT RANDOM WALKS 333 APPENDICES A TOPOLOGICAL
GROUPS 355 B TOPOLOGICAL VECTOR SPACES 358 C COMMUTATIVE BANACH ALGEBRAS
366 SELECTED REFERENCES 371 SYMBOLS 377 INDEX 383
|
any_adam_object | 1 |
author | Heyer, Herbert |
author_facet | Heyer, Herbert |
author_role | aut |
author_sort | Heyer, Herbert |
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building | Verbundindex |
bvnumber | BV020821674 |
classification_rvk | SK 800 |
classification_tum | MAT 601f MAT 110f |
ctrlnum | (OCoLC)633213935 (DE-599)BVBBV020821674 |
discipline | Mathematik |
format | Book |
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id | DE-604.BV020821674 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T12:13:10Z |
institution | BVB |
isbn | 9812389377 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013527029 |
oclc_num | 633213935 |
open_access_boolean | |
owner | DE-824 DE-91G DE-BY-TUM DE-11 |
owner_facet | DE-824 DE-91G DE-BY-TUM DE-11 |
physical | X, 388 S. |
publishDate | 2004 |
publishDateSearch | 2004 |
publishDateSort | 2004 |
publisher | World Scientific |
record_format | marc |
series | Series on multivariate analysis |
series2 | Series on multivariate analysis |
spellingShingle | Heyer, Herbert Structural aspects in the theory of probability a primer in probabilities on algebraic-topological structures Series on multivariate analysis Topologische Struktur (DE-588)4332615-8 gnd Algebraische Struktur (DE-588)4001166-5 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
subject_GND | (DE-588)4332615-8 (DE-588)4001166-5 (DE-588)4079013-7 |
title | Structural aspects in the theory of probability a primer in probabilities on algebraic-topological structures |
title_auth | Structural aspects in the theory of probability a primer in probabilities on algebraic-topological structures |
title_exact_search | Structural aspects in the theory of probability a primer in probabilities on algebraic-topological structures |
title_full | Structural aspects in the theory of probability a primer in probabilities on algebraic-topological structures Herbert Heyer |
title_fullStr | Structural aspects in the theory of probability a primer in probabilities on algebraic-topological structures Herbert Heyer |
title_full_unstemmed | Structural aspects in the theory of probability a primer in probabilities on algebraic-topological structures Herbert Heyer |
title_short | Structural aspects in the theory of probability |
title_sort | structural aspects in the theory of probability a primer in probabilities on algebraic topological structures |
title_sub | a primer in probabilities on algebraic-topological structures |
topic | Topologische Struktur (DE-588)4332615-8 gnd Algebraische Struktur (DE-588)4001166-5 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
topic_facet | Topologische Struktur Algebraische Struktur Wahrscheinlichkeitstheorie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013527029&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV010950028 |
work_keys_str_mv | AT heyerherbert structuralaspectsinthetheoryofprobabilityaprimerinprobabilitiesonalgebraictopologicalstructures |
Inhaltsverzeichnis
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Teilbibliothek Mathematik & Informatik
Signatur: |
0102 MAT 601f 2008 A 8352 Lageplan |
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Exemplar 1 | Ausleihbar Am Standort |