Pseudo Differential Operators & Markov Processes : Generators and Their Potential Theory
Language: English
Published by Imperial College Pr, 2002
- Hardcover
- Used
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- Title
- Pseudo Differential Operators & Markov Processes : Generators and Their Potential Theory
- Author
- Jacob, Niels
- Publisher
- Imperial College Pr
- Publication year
- 2002
- Condition
- As New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 1860943241
- ISBN 13
- 9781860943249
- Edition
- 2nd Edition
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 semigroups in their associated Bessel potential spaces, Stein's Littlewood–Paley theory, global properties of Lp–sub-Markovian semigroups, and estimates for transition functions.
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