Harmonic analysis of probability measures on hypergroups:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin u.a.
de Gruyter
1995
|
| Schriftenreihe: | De Gruyter studies in mathematics
20 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 601 S. |
| ISBN: | 3110121050 |
Internformat
MARC
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| 100 | 1 | |a Bloom, Walter R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Harmonic analysis of probability measures on hypergroups |c Walter R. Bloom ; Herbert Heyer |
| 264 | 1 | |a Berlin u.a. |b de Gruyter |c 1995 | |
| 300 | |a VI, 601 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter studies in mathematics |v 20 | |
| 650 | 7 | |a Analyse harmonique |2 ram | |
| 650 | 7 | |a Groepen (wiskunde) |2 gtt | |
| 650 | 7 | |a Harmonische analyse |2 gtt | |
| 650 | 7 | |a Mesures de probabilités |2 ram | |
| 650 | 7 | |a Waarschijnlijkheidstheorie |2 gtt | |
| 650 | 4 | |a Harmonic analysis | |
| 650 | 4 | |a Hypergroups | |
| 650 | 4 | |a Probability measures | |
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| 650 | 0 | 7 | |a Harmonische Analyse |0 (DE-588)4023453-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hypergruppe |0 (DE-588)4561851-3 |2 gnd |9 rswk-swf |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-006515743 | ||
Datensatz im Suchindex
| _version_ | 1804124197064015872 |
|---|---|
| adam_text | Contents
Introduction 1
1 Hypergroups and their measure algebras 6
1.1 Definition and general constructions 6
1.2 Translation and convolution 15
1.3 Invariant measures 28
1.4 Convolution of functions 41
1.5 Subhypergroups and double coset hypergroups 49
1.6 Idempotent measures and multipliers 61
Notes 69
2 The dual of a commutative hypergroup 74
2.1 Representations and Fourier transforms 74
2.2 The dual space in the commutative case 78
2.3 Modification of the convolution 101
2.4 The dual hypergroup 110
2.5 Support of the Plancherel measure 120
Notes 128
3 Some special classes of hypergroups 133
3.1 Polynomial hypergroups in several variables 133
3.2 Polynomial hypergroups in one variable 147
3.3 Examples of polynomial hypergroups in one variable 163
3.4 One dimensional hypergroups 189
3.5 Sturm Liouville hypergroups 201
3.6 Characterization of Pontryagin hypergroups 248
Notes 255
4 Positive and negative definite functions and measures 258
4.1 Positive definite functions 258
4.2 The Levy continuity theorem 276
4.3 Positive definite measures 283
4.4 Negative definite functions 292
4.5 The Levy Khintchine representation 304
Notes 313
vi Contents
5 Convolution semigroups and divisibility of measures 317
5.1 Convergence of nets of measures 317
5.2 Convolution semigroups of measures 329
5.3 Embedding infinitely divisible measures 348
5.4 Factorization on hermitian hypergroups 355
Notes 379
6 Transience of convolution semigroups 382
6.1 The dichotomy theorem for random walks 382
6.2 The generalized Chung Fuchs criterion 393
6.3 Transience and renewal of convolution semigroups 400
6.4 Characterization of potential measures 409
6.5 Invariant Dirichlet forms 421
Notes 443
7 Randomized sums of hypergroup valued random variables 446
7.1 Concretization of hypergroups 446
7.2 Moment functions 452
7.3 Strong laws of large numbers 468
7.4 Central limit theorems 487
7.5 Invariance principles 515
Notes 530
8 Further topics 534
8.1 Towards a structure theory for hypergroups 534
8.2 Towards a theory of stationary random fields over hypergroups 546
Bibliography 553
Examples 581
Symbols 589
Index 597
|
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| id | DE-604.BV009839285 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:41:50Z |
| institution | BVB |
| isbn | 3110121050 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006515743 |
| oclc_num | 31167208 |
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| physical | VI, 601 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | de Gruyter |
| record_format | marc |
| series | De Gruyter studies in mathematics |
| series2 | De Gruyter studies in mathematics |
| spelling | Bloom, Walter R. Verfasser aut Harmonic analysis of probability measures on hypergroups Walter R. Bloom ; Herbert Heyer Berlin u.a. de Gruyter 1995 VI, 601 S. txt rdacontent n rdamedia nc rdacarrier De Gruyter studies in mathematics 20 Analyse harmonique ram Groepen (wiskunde) gtt Harmonische analyse gtt Mesures de probabilités ram Waarschijnlijkheidstheorie gtt Harmonic analysis Hypergroups Probability measures Wahrscheinlichkeitsmaß (DE-588)4137556-7 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Hypergruppe (DE-588)4561851-3 gnd rswk-swf Hypergruppe (DE-588)4561851-3 s Wahrscheinlichkeitsmaß (DE-588)4137556-7 s Harmonische Analyse (DE-588)4023453-8 s DE-604 Heyer, Herbert Verfasser aut De Gruyter studies in mathematics 20 (DE-604)BV000005407 20 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006515743&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bloom, Walter R. Heyer, Herbert Harmonic analysis of probability measures on hypergroups De Gruyter studies in mathematics Analyse harmonique ram Groepen (wiskunde) gtt Harmonische analyse gtt Mesures de probabilités ram Waarschijnlijkheidstheorie gtt Harmonic analysis Hypergroups Probability measures Wahrscheinlichkeitsmaß (DE-588)4137556-7 gnd Harmonische Analyse (DE-588)4023453-8 gnd Hypergruppe (DE-588)4561851-3 gnd |
| subject_GND | (DE-588)4137556-7 (DE-588)4023453-8 (DE-588)4561851-3 |
| title | Harmonic analysis of probability measures on hypergroups |
| title_auth | Harmonic analysis of probability measures on hypergroups |
| title_exact_search | Harmonic analysis of probability measures on hypergroups |
| title_full | Harmonic analysis of probability measures on hypergroups Walter R. Bloom ; Herbert Heyer |
| title_fullStr | Harmonic analysis of probability measures on hypergroups Walter R. Bloom ; Herbert Heyer |
| title_full_unstemmed | Harmonic analysis of probability measures on hypergroups Walter R. Bloom ; Herbert Heyer |
| title_short | Harmonic analysis of probability measures on hypergroups |
| title_sort | harmonic analysis of probability measures on hypergroups |
| topic | Analyse harmonique ram Groepen (wiskunde) gtt Harmonische analyse gtt Mesures de probabilités ram Waarschijnlijkheidstheorie gtt Harmonic analysis Hypergroups Probability measures Wahrscheinlichkeitsmaß (DE-588)4137556-7 gnd Harmonische Analyse (DE-588)4023453-8 gnd Hypergruppe (DE-588)4561851-3 gnd |
| topic_facet | Analyse harmonique Groepen (wiskunde) Harmonische analyse Mesures de probabilités Waarschijnlijkheidstheorie Harmonic analysis Hypergroups Probability measures Wahrscheinlichkeitsmaß Harmonische Analyse Hypergruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006515743&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005407 |
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