Title: Pseudo Differential Operators & Markov Processes : Generators and Their Potential Theory
Publisher: Imperial College Pr
Publication Date: 2002
Language: English
ISBN 10: 1860943241
ISBN 13: 9781860943249
Binding: Hardcover
Edition: 2nd Edition
Condition: As New

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Synopsis

In this volume two topics are discussed: the construction of Feller and L^p–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, L^p –sub-Markovian semigroups in their associated Bessel potential spaces, Stein's Littlewood–Paley theory, global properties of L^p–sub-Markovian semigroups, and estimates for transition functions.

Review

"... this book is clearly written; theorems and propositions are well formulated and, if not proved, very adequate references are given." Mathematical Reviews, 2003

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