Pseudo Differential Operators & Markov Processes: Generators And Their Potential Theory

By Niels Jacob

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.

• Format: Hardcover
• Language: English
• ISBN: 1860943241
• ISBN13: 9781860943249
• Release Date: July 2002
• Publisher: Imperial College Press
• Length: 476 Pages
• Weight: 1.73 lbs.
• Dimensions: 1.1" x 6.4" x 9.3"