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Pseudo Diff Operator & Markov Proc..(V2)
Hardcover
Medical ReferenceGeneral MathematicsProbability & Statistics
ISBN13: 9781860943249
Publisher: Imperial College Press
Published: Aug 1 2002
Pages: 476
Weight: 1.73
Height: 1.11 Width: 6.36 Depth: 9.32
Language: English
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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