Pseudo-differential operators and Markov processes: 2 Generators and their potential theory
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
London
Imperial College Pr.
2002
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Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
Beschreibung: | Includes bibliographical references and index |
Beschreibung: | XXII, 453 S. |
ISBN: | 1860943241 |
Internformat
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100 | 1 | |a Jacob, Niels |d 1955- |e Verfasser |0 (DE-588)141510129 |4 aut | |
245 | 1 | 0 | |a Pseudo-differential operators and Markov processes |n 2 |p Generators and their potential theory |c N. Jacob |
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300 | |a XXII, 453 S. | ||
336 | |b txt |2 rdacontent | ||
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500 | |a Includes bibliographical references and index | ||
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Datensatz im Suchindex
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adam_text | IMAGE 1
PSEUDO
DIFFERENTIAL TORS
KOV
PROCESSES VOLUME II GENERATORS AND THEIR POTENTIAL THEORY N.JACOB
UNIVERSITY OF WALES SWANSEA, UK
IMPERIAL COLLEGE PRESS
IMAGE 2
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
IMAGE 3
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 L P -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 L 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- |
author_variant | n j nj |
building | Verbundindex |
bvnumber | BV024150003 |
ctrlnum | (OCoLC)313951402 (DE-599)GBV363221379 |
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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illustrated | Not Illustrated |
indexdate | 2024-07-09T21:56:49Z |
institution | BVB |
isbn | 1860943241 |
language | English |
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physical | XXII, 453 S. |
publishDate | 2002 |
publishDateSearch | 2002 |
publishDateSort | 2002 |
publisher | Imperial College Pr. |
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spelling | Jacob, Niels 1955- Verfasser (DE-588)141510129 aut Pseudo-differential operators and Markov processes 2 Generators and their potential theory N. Jacob London Imperial College Pr. 2002 XXII, 453 S. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index (DE-604)BV024128320 2 http://www.gbv.de/dms/goettingen/363221379.pdf lizenzfrei Inhaltsverzeichnis GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018273516&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Jacob, Niels 1955- Pseudo-differential operators and Markov processes |
title | Pseudo-differential operators and Markov processes |
title_auth | Pseudo-differential operators and Markov processes |
title_exact_search | Pseudo-differential operators and Markov processes |
title_full | Pseudo-differential operators and Markov processes 2 Generators and their potential theory N. Jacob |
title_fullStr | Pseudo-differential operators and Markov processes 2 Generators and their potential theory N. Jacob |
title_full_unstemmed | Pseudo-differential operators and Markov processes 2 Generators and their potential theory N. Jacob |
title_short | Pseudo-differential operators and Markov processes |
title_sort | pseudo differential operators and markov processes generators and their potential theory |
url | http://www.gbv.de/dms/goettingen/363221379.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018273516&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV024128320 |
work_keys_str_mv | AT jacobniels pseudodifferentialoperatorsandmarkovprocesses2 |
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