Bernstein functions: theory and applications
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
de Gruyter
2010
|
| Schriftenreihe: | De Gruyter studies in mathematics
37 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XI, 313 S. 25 cm |
| ISBN: | 9783110215304 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text |
CONTENTS PREFACE VII INDEX OF NOTATION XII 1 COMPLETELY MONOTONE
FUNCTIONS 1 2 STIELTJES FUNCTIONS 11 3 BERNSTEIN FUNCTIONS 15 4 POSITIVE
AND NEGATIVE DEFINITE FUNCTIONS 25 5 A PROBABILISTIC INTERMEZZO 34 6
COMPLETE BERNSTEIN FUNCTIONS: REPRESENTATION 49 7 COMPLETE BERNSTEIN
FUNCTIONS: PROPERTIES 62 8 THORIN-BERNSTEIN FUNCTIONS 73 9 A SECOND
PROBABILISTIC INTERMEZZO 80 10 SPECIAL BERNSTEIN FUNCTIONS AND
POTENTIALS 92 10.1 SPECIAL BERNSTEIN FUNCTIONS 92 10.2 HIRSCH'S CLASS
105 11 THE SPECTRAL THEOREM AND OPERATOR MONOTONICITY 110 11.1 THE
SPECTRAL THEOREM 110 11.2 OPERATOR MONOTONE FUNCTIONS 118 12
SUBORDINATION AND BOCHNER'S FUNCTIONAL CALCULUS 130 12.1 SEMIGROUPS AND
SUBORDINATION IN THE SENSE OF BOCHNER 130 12.2 A FUNCTIONAL CALCULUS FOR
GENERATORS OF SEMIGROUPS 145 12.3 EIGENVALUE ESTIMATES FOR SUBORDINATE
PROCESSES 161 13 POTENTIAL THEORYOF SUBORDINATE KILLED BROWNIAN MOTION
174 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/999262246
DIGITALISIERT DURCH INDEX 309 VI CONTENTS 14 APPLICATIONS TO GENERALIZED
DIFFUSIONS 185 14.1 INVERSE LOCAL TIME AT ZERO 185 14.2 FIRST PASSAGE
TIMES 202 15 EXAMPLES OF COMPLETE BERNSTEIN FUNCTIONS 214 15.1 SPECIAL
FUNCTIONS USED IN THE TABLES 215 15.2 ALGEBRAIC FUNCTIONS 218 15.3
EXPONENTIAL FUNCTIONS 226 15.4 LOGARITHMIC FUNCTIONS 228 15.5 INVERSE
TRIGONOMETRIC FUNCTIONS 244 15.6 HYPERBOLIC FUNCTIONS 244 15.7 INVERSE
HYPERBOLIC FUNCTIONS 250 15.8 GAMMA AND OTHER SPECIAL FUNCTIONS 254 15.9
BESSEL FUNCTIONS 264 15.10 MISCELLANEOUS FUNCTIONS 272 15.11 ADDITIONAL
COMMENTS 278 A APPENDIX 281 A.L VAGUE AND WEAK CONVERGENCE OF MEASURES
281 A.2 HUNT PROCESSES AND DIRICHLET FORMS 283 BIBLIOGRAPHY 291 |
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| author_facet | Schilling, René L. 1969- Song, Renming Vondraček, Zoran |
| author_role | aut aut aut |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
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| institution | BVB |
| isbn | 9783110215304 |
| language | English |
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| physical | XI, 313 S. 25 cm |
| publishDate | 2010 |
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| publisher | de Gruyter |
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| series | De Gruyter studies in mathematics |
| series2 | De Gruyter studies in mathematics |
| spelling | Schilling, René L. 1969- Verfasser (DE-588)122050045 aut Bernstein functions theory and applications René L. Schilling ; Renming Song ; Zoran Vondraček Berlin de Gruyter 2010 XI, 313 S. 25 cm txt rdacontent n rdamedia nc rdacarrier De Gruyter studies in mathematics 37 Literaturangaben Analytic functions Monotonic functions Bernstein-Funktion (DE-588)7689806-4 gnd rswk-swf Bernstein-Funktion (DE-588)7689806-4 s DE-604 Song, Renming Verfasser (DE-588)14031847X aut Vondraček, Zoran Verfasser (DE-588)140332413 aut De Gruyter studies in mathematics 37 (DE-604)BV000005407 37 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3408671&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018874506&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schilling, René L. 1969- Song, Renming Vondraček, Zoran Bernstein functions theory and applications De Gruyter studies in mathematics Analytic functions Monotonic functions Bernstein-Funktion (DE-588)7689806-4 gnd |
| subject_GND | (DE-588)7689806-4 |
| title | Bernstein functions theory and applications |
| title_auth | Bernstein functions theory and applications |
| title_exact_search | Bernstein functions theory and applications |
| title_full | Bernstein functions theory and applications René L. Schilling ; Renming Song ; Zoran Vondraček |
| title_fullStr | Bernstein functions theory and applications René L. Schilling ; Renming Song ; Zoran Vondraček |
| title_full_unstemmed | Bernstein functions theory and applications René L. Schilling ; Renming Song ; Zoran Vondraček |
| title_short | Bernstein functions |
| title_sort | bernstein functions theory and applications |
| title_sub | theory and applications |
| topic | Analytic functions Monotonic functions Bernstein-Funktion (DE-588)7689806-4 gnd |
| topic_facet | Analytic functions Monotonic functions Bernstein-Funktion |
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