Generators and their potential theory [[electronic resource] /] / N. Jacob
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| Autore: |
Jacob Niels
|
| Titolo: |
Generators and their potential theory [[electronic resource] /] / N. Jacob
|
| Pubblicazione: | London, : Imperial College Press, c2002 |
| Descrizione fisica: | 1 online resource (476 p.) |
| Disciplina: | 519.233 |
| Soggetto topico: | Semigroups of operators |
| Pseudodifferential operators | |
| Potential theory (Mathematics) | |
| Soggetto genere / forma: | Electronic books. |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | ""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 "" | |
| ""2.2 Some Second Order Differential Operators with Non-Negative Characteristic Form as Generators of Sub-Markovian Semigroups """"2.3 Some Properties of Pseudo-Differential Operators with Negative Definite Symbols "" | |
| ""2.4 Hoh's Symbolic Calculus for Pseudo-Differential Operators with Negative Definite Symbols """"2.5 Estimates for Pseudo-Differential Operators with Negative Definite Symbols Using the Symbolic Calculus "" | |
| ""2.6 Feller Semigroups and Sub-Markovian Semigroups Generated by Pseudo-Differential Operators "" | |
| Sommario/riassunto: | 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 |
| Titolo autorizzato: | Generators and their potential theory |
| ISBN: | 1-86094-956-8 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910451919203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |