| Description |
1 online resource (xxii, 453 pages) |
| Series |
Pseudo differential operators & Markov processes ; v. 2 |
|
Jacob, Niels.
Pseudo differential operators & Markov processes ; v. 2
|
| 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 "" |
| Summary |
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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Semigroups of operators.
|
|
Pseudodifferential operators.
|
|
Potential theory (Mathematics)
|
|
MATHEMATICS -- Functional Analysis.
|
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Potential theory (Mathematics)
|
|
Pseudodifferential operators
|
|
Semigroups of operators
|
| Form |
Electronic book
|
| ISBN |
1860949568 |
|
9781860949562 |
|
