Potential analysis of stable processes and its extensions:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2009
|
| Schriftenreihe: | Lecture notes in mathematics
1980 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 187 S. graph. Darst. 235 mm x 155 mm |
| ISBN: | 9783642021404 |
Internformat
MARC
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| 245 | 1 | 0 | |a Potential analysis of stable processes and its extensions |c Krzysztof Bogdan ... Vol. ed.: Piotr Graczyk ... |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2009 | |
| 300 | |a IX, 187 S. |b graph. Darst. |c 235 mm x 155 mm | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1980 | |
| 650 | 4 | |a Analyse fonctionnelle | |
| 650 | 4 | |a Théorie du potentiel | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-018010338 | ||
Datensatz im Suchindex
| _version_ | 1804140015593193472 |
|---|---|
| adam_text | CONTENTS 1 INTRODUCTION 1 1.1 BASES OF POTENTIAL THEORY OF STABLE
PROCESSES 1 1.1.1 CLASSICAL POTENTIAL THEORY 2 1.1.2 POTENTIAL THEORY OF
THE RIESZ KERNEL 7 1.1.3 GREEN FUNCTION AND POISSON KERNEL OF A / 2 14
1.1.4 SUBORDINATE BROWNIAN MOTIONS 22 1.2 OUTLINE OF THE BOOK 23 2
BOUNDARY POTENTIAL THEORY FOR SCHROEDINGER OPERATORS BASED ON FRACTIONAL
LAPLACIAN 25 K. BOGDAN AND T. BYCZKOWSKI 2.1 INTRODUCTION 25 2.2
BOUNDARY HARNACK PRINCIPLE 26 2.3 APPROXIMATE FACTORIZATION OF GREEN
FUNCTION 35 2.4 SCHROEDINGER OPERATOR AND CONDITIONAL GAUGE THEOREM 37 3
NONTANGENTIAL CONVERGENCE FOR CR-HARMONIC FUNCTIONS 57 M. RYZNAR 3.1
INTRODUCTION 57 3.2 BASIC DEFINITIONS AND PROPERTIES 60 3.3 RELATIVE
FATOU THEOREM FOR A-HARMONIC FUNCTIONS 62 3.4 EXTENSIONS TO OTHER
PROCESSES 70 4 EIGENVALUES AND EIGENFUNCTIONS FOR STABLE PROCESSES 73 T.
KULCZYCKI 4.1 INTRODUCTION 73 4.2 INTRINSIC ULTRACONTRACTIVITY (IU) 76
4.3 STEKLOV PROBLEM 78 4.4 EIGENVALUE ESTIMATES 81 4.5 GENERALIZED
ISOPERIMETRIC INEQUALITIES 82 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/994038666 DIGITALISIERT DURCH 185 VIII CONTENTS 5
POTENTIAL THEORY OF SUBORDINATE BROWNIAN MOTION 87 R. SONG AND Z.
VONDRACEK 5.1 INTRODUCTION 87 5.2 SUBORDINATORS 89 5.2.1 SPECIAL
SUBORDINATORS AND COMPLETE BERNSTEIN FUNCTIONS 89 5.2.2 EXAMPLES OF
SUBORDINATORS 96 5.2.3 ASYMPTOTIC BEHAVIOR OF THE POTENTIAL, LEVY AND
TRANSITION DENSITIES 102 5.3 SUBORDINATE BROWNIAN MOTION 110 5.3.1
DEFINITIONS AND TECHNICAL LEMMA 110 5.3.2 ASYMPTOTIC BEHAVIOR OF THE
GREEN FUNCTION 115 5.3.3 ASYMPTOTIC BEHAVIOR OF THE JUMPING FUNCTION 122
5.3.4 TRANSITION DENSITIES OF SYMMETRIC GEOMETRIC STABLE PROCESSES 129
5.4 HARNACK INEQUALITY FOR SUBORDINATE BROWNIAN MOTION 131 5.4.1
CAPACITY AND EXIT TIME ESTIMATES FOR SOME SYMMETRIC LEVY PROCESSES 131
5.4.2 KRYLOV-SAFONOV-TYPE ESTIMATE 135 5.4.3 PROOF OF HARNACK INEQUALITY
141 5.5 SUBORDINATE KILLED BROWNIAN MOTION 148 5.5.1 DEFINITIONS 148
5.5.2 REPRESENTATION OF EXCESSIVE AND HARMONIC FUNCTIONS OF SUBORDINATE
PROCESS 150 5.5.3 HARNACK INEQUALITY FOR SUBORDINATE PROCESS 158 5.5.4
MARTIN BOUNDARY OF SUBORDINATE PROCESS 161 5.5.5 BOUNDARY HARNACK
PRINCIPLE FOR SUBORDINATE PROCESS 167 5.5.6 SHARP BOUNDS FOR THE GREEN
FUNCTION AND THE JUMPING FUNCTION OF SUBORDINATE PROCESS... 171
BIBLIOGRAPHY 177 INDEX
|
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| indexdate | 2024-07-09T21:53:16Z |
| institution | BVB |
| isbn | 9783642021404 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018010338 |
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| physical | IX, 187 S. graph. Darst. 235 mm x 155 mm |
| publishDate | 2009 |
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| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Potential analysis of stable processes and its extensions Krzysztof Bogdan ... Vol. ed.: Piotr Graczyk ... Berlin [u.a.] Springer 2009 IX, 187 S. graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1980 Analyse fonctionnelle Théorie du potentiel Functional analysis Potential theory (Mathematics) Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Potenzialtheorie (DE-588)4046939-6 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 s Potenzialtheorie (DE-588)4046939-6 s DE-604 Bogdan, Krzysztof Sonstige oth Erscheint auch als Online-Ausgabe 978-3-642-02141-1 Lecture notes in mathematics 1980 (DE-604)BV000676446 1980 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018010338&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Potential analysis of stable processes and its extensions Lecture notes in mathematics Analyse fonctionnelle Théorie du potentiel Functional analysis Potential theory (Mathematics) Stochastischer Prozess (DE-588)4057630-9 gnd Potenzialtheorie (DE-588)4046939-6 gnd |
| subject_GND | (DE-588)4057630-9 (DE-588)4046939-6 |
| title | Potential analysis of stable processes and its extensions |
| title_auth | Potential analysis of stable processes and its extensions |
| title_exact_search | Potential analysis of stable processes and its extensions |
| title_full | Potential analysis of stable processes and its extensions Krzysztof Bogdan ... Vol. ed.: Piotr Graczyk ... |
| title_fullStr | Potential analysis of stable processes and its extensions Krzysztof Bogdan ... Vol. ed.: Piotr Graczyk ... |
| title_full_unstemmed | Potential analysis of stable processes and its extensions Krzysztof Bogdan ... Vol. ed.: Piotr Graczyk ... |
| title_short | Potential analysis of stable processes and its extensions |
| title_sort | potential analysis of stable processes and its extensions |
| topic | Analyse fonctionnelle Théorie du potentiel Functional analysis Potential theory (Mathematics) Stochastischer Prozess (DE-588)4057630-9 gnd Potenzialtheorie (DE-588)4046939-6 gnd |
| topic_facet | Analyse fonctionnelle Théorie du potentiel Functional analysis Potential theory (Mathematics) Stochastischer Prozess Potenzialtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018010338&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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