Pseudo-differential operators & Markov processes: Volume 2 Generators and their potential theory
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
2002
|
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xxii, 453 Seiten |
| ISBN: | 1860943241 9781860943249 |
Internformat
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| 245 | 1 | 0 | |a Pseudo-differential operators & Markov processes |n Volume 2 |p Generators and their potential theory |c N. Jacob |
| 264 | 1 | |a London |b Imperial College Press |c 2002 | |
| 300 | |a xxii, 453 Seiten | ||
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Datensatz im Suchindex
| _version_ | 1804130347159388160 |
|---|---|
| adam_text | Contents
Preface vii
Notation ix
General Notation ix
Functions and Distributions xi
Measures and Integrals xi
Spaces of Functions, Measures and Distributions xii
Some Families of Functions xiv
Norms, Scalar Products and Seminorms xiv
Notation from Functional Analysis, Operators xv
Notations related to Pseudo Differential Operators xvi
Notations related to Potential Theory and Harmonic Analysis .... xvi
Introduction: Pseudo Differential Operators and
Markov Processes xix
II Generators and Their Potential Theory 1
1 Introduction 3
2 Generators of Feller and Sub Markovian Semigroups 13
2.1 Second Order Elliptic Differential Operators as Generators of
Feller and Sub Markovian Semigroups 13
2.2 Some Second Order Differential Operators with Non Negative
Characteristic Form as Generators of Sub Markovian Semigroups 48
2.3 Some Properties of Pseudo Differential Operators with Negative
Definite Symbols 66
vi Contents
2.4 Hoh s Symbolic Calculus for Pseudo Differential Operators with
Negative Definite Symbols 87
2.5 Estimates for Pseudo Differential Operators with Negative Def¬
inite Symbols Using the Symbolic Calculus 113
2.6 Feller Semigroups and Sub Markovian Semigroups Generated
by Pseudo Differential Operators 126
2.7 Further Analytic Approaches for Constructing Feller and Sub
Markovian Semigroups 138
2.8 Some Perturbation Results 151
2.9 On Semigroups Obtained by Subordination 172
2.10 Pseudo Differential Operators with Variable Order of Differen¬
tiation as Generators of Feller Semigroups 204
3 Potential Theory of Semigroups and Generators 213
3.1 Capacities and Abstract Bessel Potential Spaces 213
3.2 First Results on ip Sub Markovian Semigroups in their Associ¬
ated Bessel Potential Spaces 244
3.3 Bessel Potential Spaces Associated with a Continuous Negative
Definite Function 270
3.4 Stein s Littlewood Paley Theory for Sub Markovian Semigroups 300
3.5 Global Properties of £P Sub Markovian Semigroups 336
3.6 Nash Type and Sobolev Type Inequalities — a Short Outline . 409
Bibliography 417
Author Index 443
Subject Index 447
|
| any_adam_object | 1 |
| author | Jacob, Niels 1955- |
| author_GND | (DE-588)141510129 |
| author_facet | Jacob, Niels 1955- |
| author_role | aut |
| author_sort | Jacob, Niels 1955- |
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| dewey-full | 515.7242 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7242 |
| dewey-search | 515.7242 |
| dewey-sort | 3515.7242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV017581195 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:19:35Z |
| institution | BVB |
| isbn | 1860943241 9781860943249 |
| language | English |
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| physical | xxii, 453 Seiten |
| publishDate | 2002 |
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| publisher | Imperial College Press |
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| spelling | Jacob, Niels 1955- Verfasser (DE-588)141510129 aut Pseudo-differential operators & Markov processes Volume 2 Generators and their potential theory N. Jacob London Imperial College Press 2002 xxii, 453 Seiten txt rdacontent n rdamedia nc rdacarrier (DE-604)BV014229605 2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010580194&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jacob, Niels 1955- Pseudo-differential operators & Markov processes |
| title | Pseudo-differential operators & Markov processes |
| title_auth | Pseudo-differential operators & Markov processes |
| title_exact_search | Pseudo-differential operators & Markov processes |
| title_full | Pseudo-differential operators & Markov processes Volume 2 Generators and their potential theory N. Jacob |
| title_fullStr | Pseudo-differential operators & Markov processes Volume 2 Generators and their potential theory N. Jacob |
| title_full_unstemmed | Pseudo-differential operators & Markov processes Volume 2 Generators and their potential theory N. Jacob |
| title_short | Pseudo-differential operators & Markov processes |
| title_sort | pseudo differential operators markov processes generators and their potential theory |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010580194&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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