Differentiability of six operators on nonsmooth functions and p-variation:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1999
|
| Schriftenreihe: | Lecture notes in mathematics
1703 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008518974&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | VIII, 277 S. |
| ISBN: | 3540659757 |
Internformat
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| 100 | 1 | |a Dudley, Richard M. |d 1938- |e Verfasser |0 (DE-588)121010996 |4 aut | |
| 245 | 1 | 0 | |a Differentiability of six operators on nonsmooth functions and p-variation |c Richard M. Dudley ; Rimas Norvaiša |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1999 | |
| 300 | |a VIII, 277 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1703 | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 999-1703 |
|---|---|
| DE-BY-TUM_katkey | 1072951 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020403756 |
| _version_ | 1821931895440539648 |
| adam_text | CONTENTS
Preface v
Part I. A survey on differentiability of six operators in
relation to probability and statistics
Contents of Part I 1
1. Introduction; kinds of differentiability 2
2. The two function composition operator (F, G) FoG ... 12
3. The quantile (inverse) operator 17
4. The integration operator and Young integrals 20
5. The product integral 27
6. Probability and p variation 30
7. General and C differentiability 35
8. The chain rule and concluding remarks 37
Appendices 43
References 67
Part II. Product integrals, Young integrals and p variation
Abstract 73
Contents of Part II 73
1. Introduction 75
2. p variation 81
3. Stieltjes and Young integrals 98
4. Product integrals 139
5. Indefinite product integrals 170
6. The logarithm operator 198
7. References 205
Part III. Differentiability of the composition and inverse
operators for regulated and a.e. continuous functions
Abstract 209
Contents of Part III 209
1. Introduction 210
2. Regulated functions 213
3. Almost everywhere continuous functions 220
4. The quantile operator 222
5. The composition operator for real valued functions 228
6. The composition operator for Banach valued functions . . 234
Appendix 236
References 237
VIII
Part IV. Bibliographies on p variation and (^ variation
by R. M. Dudley, R. Norvaisa and Jinghua Qian
Abstract 241
Contents of Part IV 241
Introduction 242
Bibliography on p variation 243
Bibliography on (^ variation 262
Subject Index 273
Author Index 275
|
| any_adam_object | 1 |
| author | Dudley, Richard M. 1938- Norvaǐsa, Rimas |
| author_GND | (DE-588)121010996 |
| author_facet | Dudley, Richard M. 1938- Norvaǐsa, Rimas |
| author_role | aut aut |
| author_sort | Dudley, Richard M. 1938- |
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| ctrlnum | (OCoLC)264105845 (DE-599)BVBBV012544282 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV012544282 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T10:32:12Z |
| institution | BVB |
| isbn | 3540659757 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008518974 |
| oclc_num | 264105845 |
| open_access_boolean | |
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| owner_facet | DE-91G DE-BY-TUM DE-739 DE-824 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-11 DE-188 |
| physical | VIII, 277 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spellingShingle | Dudley, Richard M. 1938- Norvaǐsa, Rimas Differentiability of six operators on nonsmooth functions and p-variation Lecture notes in mathematics Funktion von beschränkter Variation (DE-588)4155666-5 gnd Operator (DE-588)4130529-2 gnd Differenzierbarkeit (DE-588)4149807-0 gnd |
| subject_GND | (DE-588)4155666-5 (DE-588)4130529-2 (DE-588)4149807-0 |
| title | Differentiability of six operators on nonsmooth functions and p-variation |
| title_auth | Differentiability of six operators on nonsmooth functions and p-variation |
| title_exact_search | Differentiability of six operators on nonsmooth functions and p-variation |
| title_full | Differentiability of six operators on nonsmooth functions and p-variation Richard M. Dudley ; Rimas Norvaiša |
| title_fullStr | Differentiability of six operators on nonsmooth functions and p-variation Richard M. Dudley ; Rimas Norvaiša |
| title_full_unstemmed | Differentiability of six operators on nonsmooth functions and p-variation Richard M. Dudley ; Rimas Norvaiša |
| title_short | Differentiability of six operators on nonsmooth functions and p-variation |
| title_sort | differentiability of six operators on nonsmooth functions and p variation |
| topic | Funktion von beschränkter Variation (DE-588)4155666-5 gnd Operator (DE-588)4130529-2 gnd Differenzierbarkeit (DE-588)4149807-0 gnd |
| topic_facet | Funktion von beschränkter Variation Operator Differenzierbarkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008518974&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT dudleyrichardm differentiabilityofsixoperatorsonnonsmoothfunctionsandpvariation AT norvaisarimas differentiabilityofsixoperatorsonnonsmoothfunctionsandpvariation |
Inhaltsverzeichnis
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 999-1703
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |