Pseudo Differential Operators & Markov Processes: Generators and Their Potential Theory: Vol 2

Jacob, Niels

ISBN 10: 1860943241 / ISBN 13: 9781860943249

Editore: Imperial College Pr, 2002

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2nd edition. 476 pages. 9.00x6.25x1.00 inches. In Stock.

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Dati bibliografici

• Titolo: Pseudo Differential Operators & Markov Processes: Generators and Their Potential Theory: Vol 2
• Editore: Imperial College Pr
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 1860943241
• ISBN 13: 9781860943249
• Rilegatura: Hardcover
• Edizione: seconda edizione
• Condizione: Brand New

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Riassunto

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.