Generators and their potential theory /:
In this volume two topics are discussed: the construction of Feller and Lp-sub-Markovian semigroups by starting with a pseudo-differential operator, and the potential theory of these semigroups and their generators. The first part of the text essentially discusses the analysis of pseudo-differential...
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1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
London :
Imperial College Press,
©2002.
|
Schriftenreihe: | Jacob, Niels. Pseudo differential operators & Markov processes ;
v. 2. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | In this volume two topics are discussed: the construction of Feller and Lp-sub-Markovian semigroups by starting with a pseudo-differential operator, and the potential theory of these semigroups and their generators. The first part of the text essentially discusses the analysis of pseudo-differential operators with negative definite symbols and develops a symbolic calculus; in addition, it deals with special approaches, such as subordination in the sense of Bochner. The second part handles capacities, function spaces associated with continuous negative definite functions, Lp -sub-Markovian sem. |
Beschreibung: | 1 online resource (xxii, 453 pages). |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 1860949568 9781860949562 |
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contents | ""Contents ""; ""Preface ""; ""Notation ""; ""General Notation ""; ""Functions and Distributions ""; ""Measures and Integrals ""; ""Spaces of Functions Measures and Distributions ""; ""Some Families of Functions ""; ""Norms Scalar Products and Seminorms "" ""Notation from Functional Analysis Operators """"Notations related to Pseudo-Differential Operators ""; ""Notations related to Potential Theory and Harmonic Analysis ""; ""Introduction: Pseudo-Differential Operators and Markov Processes ""; ""II Generators and Their Potential Theory "" ""1 Introduction """"2 Generators of Feller and Sub-Markovian Semigroups ""; ""2.1 Second Order Elliptic Differential Operators as Generators of Feller and Sub-Markovian Semigroups "" |
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language | English |
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spelling | Jacob, Niels. https://id.oclc.org/worldcat/entity/E39PCjKkY3M4jBwHQyW834dHwd http://id.loc.gov/authorities/names/nr96035245 Generators and their potential theory / N. Jacob. London : Imperial College Press, ©2002. 1 online resource (xxii, 453 pages). text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Pseudo differential operators & Markov processes ; v. 2 Includes bibliographical references and index. Print version record. ""Contents ""; ""Preface ""; ""Notation ""; ""General Notation ""; ""Functions and Distributions ""; ""Measures and Integrals ""; ""Spaces of Functions Measures and Distributions ""; ""Some Families of Functions ""; ""Norms Scalar Products and Seminorms "" ""Notation from Functional Analysis Operators """"Notations related to Pseudo-Differential Operators ""; ""Notations related to Potential Theory and Harmonic Analysis ""; ""Introduction: Pseudo-Differential Operators and Markov Processes ""; ""II Generators and Their Potential Theory "" ""1 Introduction """"2 Generators of Feller and Sub-Markovian Semigroups ""; ""2.1 Second Order Elliptic Differential Operators as Generators of Feller and Sub-Markovian Semigroups "" In this volume two topics are discussed: the construction of Feller and Lp-sub-Markovian semigroups by starting with a pseudo-differential operator, and the potential theory of these semigroups and their generators. The first part of the text essentially discusses the analysis of pseudo-differential operators with negative definite symbols and develops a symbolic calculus; in addition, it deals with special approaches, such as subordination in the sense of Bochner. The second part handles capacities, function spaces associated with continuous negative definite functions, Lp -sub-Markovian sem. Semigroups of operators. http://id.loc.gov/authorities/subjects/sh85119921 Pseudodifferential operators. http://id.loc.gov/authorities/subjects/sh85108264 Potential theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85105671 Semi-groupes d'opérateurs. Opérateurs pseudo-différentiels. Théorie du potentiel. MATHEMATICS Functional Analysis. bisacsh Potential theory (Mathematics) fast Pseudodifferential operators fast Semigroups of operators fast has work: Generators and their potential theory (Text) https://id.oclc.org/worldcat/entity/E39PCH8yMj6cqTRw8kQQPPxdQq https://id.oclc.org/worldcat/ontology/hasWork Print version: Jacob, Niels. Generators and their potential theory. London : Imperial College Press, ©2002 1860943241 9781860943249 (OCoLC)50748366 Jacob, Niels. Pseudo differential operators & Markov processes ; v. 2. FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210587 Volltext |
spellingShingle | Jacob, Niels Generators and their potential theory / Jacob, Niels. Pseudo differential operators & Markov processes ; ""Contents ""; ""Preface ""; ""Notation ""; ""General Notation ""; ""Functions and Distributions ""; ""Measures and Integrals ""; ""Spaces of Functions Measures and Distributions ""; ""Some Families of Functions ""; ""Norms Scalar Products and Seminorms "" ""Notation from Functional Analysis Operators """"Notations related to Pseudo-Differential Operators ""; ""Notations related to Potential Theory and Harmonic Analysis ""; ""Introduction: Pseudo-Differential Operators and Markov Processes ""; ""II Generators and Their Potential Theory "" ""1 Introduction """"2 Generators of Feller and Sub-Markovian Semigroups ""; ""2.1 Second Order Elliptic Differential Operators as Generators of Feller and Sub-Markovian Semigroups "" Semigroups of operators. http://id.loc.gov/authorities/subjects/sh85119921 Pseudodifferential operators. http://id.loc.gov/authorities/subjects/sh85108264 Potential theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85105671 Semi-groupes d'opérateurs. Opérateurs pseudo-différentiels. Théorie du potentiel. MATHEMATICS Functional Analysis. bisacsh Potential theory (Mathematics) fast Pseudodifferential operators fast Semigroups of operators fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85119921 http://id.loc.gov/authorities/subjects/sh85108264 http://id.loc.gov/authorities/subjects/sh85105671 |
title | Generators and their potential theory / |
title_auth | Generators and their potential theory / |
title_exact_search | Generators and their potential theory / |
title_full | Generators and their potential theory / N. Jacob. |
title_fullStr | Generators and their potential theory / N. Jacob. |
title_full_unstemmed | Generators and their potential theory / N. Jacob. |
title_short | Generators and their potential theory / |
title_sort | generators and their potential theory |
topic | Semigroups of operators. http://id.loc.gov/authorities/subjects/sh85119921 Pseudodifferential operators. http://id.loc.gov/authorities/subjects/sh85108264 Potential theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85105671 Semi-groupes d'opérateurs. Opérateurs pseudo-différentiels. Théorie du potentiel. MATHEMATICS Functional Analysis. bisacsh Potential theory (Mathematics) fast Pseudodifferential operators fast Semigroups of operators fast |
topic_facet | Semigroups of operators. Pseudodifferential operators. Potential theory (Mathematics) Semi-groupes d'opérateurs. Opérateurs pseudo-différentiels. Théorie du potentiel. MATHEMATICS Functional Analysis. Pseudodifferential operators Semigroups of operators |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210587 |
work_keys_str_mv | AT jacobniels generatorsandtheirpotentialtheory |