Infinitely divisible and stable measures on Banach spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Leipzig
Teubner
1983
|
| Edition: | 1. Auflage |
| Series: | Teubner-Texte zur Mathematik
58 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 201 Seiten Illustrationen |
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| 100 | 1 | |a Linde, Werner |d 1947- |e Verfasser |0 (DE-588)1050326334 |4 aut | |
| 245 | 1 | 0 | |a Infinitely divisible and stable measures on Banach spaces |c Werner Linde |
| 250 | |a 1. Auflage | ||
| 264 | 1 | |a Leipzig |b Teubner |c 1983 | |
| 300 | |a 201 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Teubner-Texte zur Mathematik |v 58 | |
| 650 | 4 | |a Banach, Espaces de | |
| 650 | 4 | |a Mesure, Théorie de la | |
| 650 | 4 | |a Banach spaces | |
| 650 | 4 | |a Measure theory | |
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Record in the Search Index
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| adam_text |
CONTENTS
Preface 5
0. Basic notations 8
1. Weak convergence of Radon measures 9
1. Radon measures 9
2. E valued random variables 10
3. The weak topology in W(E) 11
4. Prokhorov's theorem 13
5. Convergence of degenerated measures 14
6. The Dudley Skorokhod theorem 14
7. Charaoteristio function 15
8. Characteristic function of w.r. c. sets of measures 17
9. The logarithm of characteristic functions 19
2. Convolution and weak topology 22
1. Convolution of Radon measures 22
2. Convolution and weak compactness 23
3. Shift compactness 25
4. Factors of measures 29
5. Symmetric measures and symmetrization 30
6. The Ito *Nisio theorem 32
3. Banach spaces and operators 34
1. Examples of Banach spaces 34
2. Dual spaces and properties of Banach spaces 36
3. The Maurey Lindenstrauss PeZczyfisIci criterion 38
4. Sums of independent E valued random variables 39
5. Type and cotype of Banach spaces 41
6. The Maurey Pisier Krivine theorem 44
7. Maurey's faotorization theorem 45
8. Decomposed operators 45
9. Absolutely summing operators 47
4. Cylindrical measures 49
1. mappings of Radon measures 49
2. Cylindrical sets and cylindrical measures 51
3. Characteristic functions of cylindrical measures 52
4. Continuity of cylindrical measures 54
5. Operators and cylindrical measures 56
6. Radon extensions of cylindrical measures 57
7. Mappings of cylindrical measures 58
8. Stable cylindrical measures 60
5. Infinitely divisible measures on Banach spaces 62
1. Properties of infinitely divisible measures 62
2. Gaussian measures 66
3. Exponents of measures 68
4. Levy measures 74
5. Uniqueness of Levy measures 81
6. Convergence of generalized exponents 84
7. Levy Khinchin representation of i.d. measures 89
8. The support of exponents of measures 92
6. Stable measures on Banach spaces 94
1. Dilatation of measures 94
2. Levy measures generating stable measures 97
3. Levy's spectral representation theorem 105
4. Symmetric stable and strictly stable measures 110
5. Stable measures with discrete spectral measure 113
6. Weak convergence of stable measures 115
7. Tail behavior of stable measures 121
8. One dimensional distributions 125
9 The support of stable symmetric measures 129
10. Representation of stable measures by their spectral
measure 131
7» Operators and stable symmetric measure 133
1. Stable random measures 133
2. A. operators 138
3. ConVergence of 4p operators 142
4. Decomposition of Ap operators 147
5 Ap operators and spaces of stable ty$e p 151
6. q stable measures generated by p stable measures 155
7. Ap operatorn and absolutely summing operators 157
8. Jt,_ operators in L , 1 £ s«c oo 163
tr 3
8. Estimations between stable symmetric measures 166
1. V/eak domination 166
2. Topologies generated by stable measures 170
3. The l_ ideal property 173
4. Spaces of cotype (q,p; 175
5 Finite dimensional characterization of cotype (q,p) 178
6. Sazonov spaces 185
Bibliography 187
Index of symbols 197
Index of subjects 200 |
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| discipline | Mathematik |
| edition | 1. Auflage |
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| id | DE-604.BV003702736 |
| illustrated | Illustrated |
| indexdate | 2024-09-20T12:03:59Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002356954 |
| oclc_num | 10875929 |
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| physical | 201 Seiten Illustrationen |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Teubner |
| record_format | marc |
| series | Teubner-Texte zur Mathematik |
| series2 | Teubner-Texte zur Mathematik |
| spelling | Linde, Werner 1947- Verfasser (DE-588)1050326334 aut Infinitely divisible and stable measures on Banach spaces Werner Linde 1. Auflage Leipzig Teubner 1983 201 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Teubner-Texte zur Mathematik 58 Banach, Espaces de Mesure, Théorie de la Banach spaces Measure theory Banach-Raum (DE-588)4004402-6 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Maßtheorie (DE-588)4074626-4 s Banach-Raum (DE-588)4004402-6 s DE-604 Teubner-Texte zur Mathematik 58 (DE-604)BV000012607 58 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002356954&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Linde, Werner 1947- Infinitely divisible and stable measures on Banach spaces Teubner-Texte zur Mathematik Banach, Espaces de Mesure, Théorie de la Banach spaces Measure theory Banach-Raum (DE-588)4004402-6 gnd Maßtheorie (DE-588)4074626-4 gnd |
| subject_GND | (DE-588)4004402-6 (DE-588)4074626-4 |
| title | Infinitely divisible and stable measures on Banach spaces |
| title_auth | Infinitely divisible and stable measures on Banach spaces |
| title_exact_search | Infinitely divisible and stable measures on Banach spaces |
| title_full | Infinitely divisible and stable measures on Banach spaces Werner Linde |
| title_fullStr | Infinitely divisible and stable measures on Banach spaces Werner Linde |
| title_full_unstemmed | Infinitely divisible and stable measures on Banach spaces Werner Linde |
| title_short | Infinitely divisible and stable measures on Banach spaces |
| title_sort | infinitely divisible and stable measures on banach spaces |
| topic | Banach, Espaces de Mesure, Théorie de la Banach spaces Measure theory Banach-Raum (DE-588)4004402-6 gnd Maßtheorie (DE-588)4074626-4 gnd |
| topic_facet | Banach, Espaces de Mesure, Théorie de la Banach spaces Measure theory Banach-Raum Maßtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002356954&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000012607 |
| work_keys_str_mv | AT lindewerner infinitelydivisibleandstablemeasuresonbanachspaces |