Pseudo-differential operators & Markov processes: 1 Fourier analysis and semigroups
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
2001
|
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXII, 493 S. |
| ISBN: | 1860942938 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804129113779208192 |
|---|---|
| adam_text | Contents
Preface ix
Notation xi
General Notation xi
Functions and Distributions xii
Measures and Integrals xiii
Spaces of Functions, Measures and Distributions xiv
Some Families of Functions xv
Norms, Scalar Products and Seminorms xvi
Notation from Functional Analysis, Operators xvi
Introduction: Pseudo Differential Operators and Markov
Processes xix
I Fourier Analysis and Semigroups 1
1 Introduction 3
2 Essentials from Analysis 11
2.1 Calculus Results 11
2.2 Some Topology 20
2.3 Measure Theory and Integration 23
2.4 Convexity 37
2.5 Analytic Functions 40
2.6 Functions and Distributions 43
2.7 Some Functional Analysis 52
vi Contents
2.8 Some Interpolation Theory 69
3 Fourier Analysis and Convolution Semigroups 75
3.1 The Fourier Transform in S(En) 75
3.2 The Fourier Transform in LP(En), 1 p 2 83
3.3 The Fourier Transform in S (En) 92
3.4 The Paley Wiener Schwartz Theorem 98
3.5 Bounded Borel Measures and Positive Definite Functions .... 103
3.6 Convolution Semigroups and Negative Definite Functions . . . 120
3.7 The Levy Khinchin Formula for Continuous Negative
Definite Functions 138
3.8 Laplace and Stieltjes Transform, and Completely Monotone
Functions 155
3.9 Bernstein Functions and Subordination of Convolution
Semigroups 172
3.10 Some Function Spaces related to Continuous Negative
Definite Functions 207
3.11 Besov Spaces and Triebel Lizorkin Spaces 222
3.12 Fourier Multiplier Theorems 233
3.13 Notes to Chapter 3 241
4 One Parameter Semigroups 247
4.1 Strongly Continuous Operator Semigroups 247
4.2 Analytic Semigroups 282
4.3 Subordination in the Sense of Bochner for Operator
Semigroups 295
4.4 Perturbations and Approximations 319
4.5 Generators of Feller Semigroups 332
4.6 Sub Markovian Semigroups and their Generators 364
4.7 Dirichlet Forms and Generators of Sub Markovian
Semigroups 383
4.8 Extending Feller Semigroups, Resolvents and their
Generators 422
4.9 Notes to Chapter 4 446
Bibliography 451
Contents vii
Author Index 479
Subject Index 483
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| author | Jacob, Niels 1955- |
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| dewey-raw | 515.2433 |
| dewey-search | 515.2433 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV014229610 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:59:59Z |
| institution | BVB |
| isbn | 1860942938 |
| language | English |
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| physical | XXII, 493 S. |
| publishDate | 2001 |
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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 1 Fourier analysis and semigroups N. Jacob London Imperial College Press 2001 XXII, 493 S. txt rdacontent n rdamedia nc rdacarrier (DE-604)BV014229605 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009754995&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 1 Fourier analysis and semigroups N. Jacob |
| title_fullStr | Pseudo-differential operators & Markov processes 1 Fourier analysis and semigroups N. Jacob |
| title_full_unstemmed | Pseudo-differential operators & Markov processes 1 Fourier analysis and semigroups N. Jacob |
| title_short | Pseudo-differential operators & Markov processes |
| title_sort | pseudo differential operators markov processes fourier analysis and semigroups |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009754995&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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