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About Pseudo Differential Operators & Markov Processes Volume II: 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 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.
Detailed Information
| Author: | Niels Jacob |
|---|---|
| Publication Year: | 2002 |
| ISBN: | 1860943241 |
| Pages: | 477 |
| Language: | English |
| File Size: | 14.868 |
| Format: | |
| Price: | FREE |
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