Pseudo-differential operators & Markov processes, Vol. II, Generators and their potential theory:

In this volume two topics are discussed: the construction of Feller and L[symbol]-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-diffe...

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Bibliographic Details
Main Author: Jacob, Niels (Author)
Format: Electronic eBook
Language:English
Published: London Imperial College Press c2002
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Online Access:FHN01
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Summary:In this volume two topics are discussed: the construction of Feller and L[symbol]-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[symbol]-sub-Markovian semigroups in their associated Bessel potential spaces, Stein's Littlewood-Paley theory, global properties of L[symbol]-sub-Markovian semigroups, and estimates for transition functions
Physical Description:xxii, 453 p
ISBN:9781860949562

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