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PSEUDO DIFFERENTIAL OPERATORS AND MARKOV PROCESSES, VOLUME II: GENERATORS AND THEIR POTENTIAL THEORY
Author(s): Niels Jacob (Author)
- Publisher: Imperial College Pr
- Publication Date: July 22, 2002
- Edition: 2nd ed.
- Language: English
- Print length: 476 pages
- ISBN-10: 1860943241
- ISBN-13: 9781860943249
Book Description
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.
Editorial Reviews
Review
...this book is clearly written; theorems and propositions are well formulated... -- Mathematical Reviews, 2003
