Pseudo Differential Operators And Markov Processes, Volume Ii: Generators And Their Potential Theory

Pseudo Differential Operators And Markov Processes, Volume Ii: Generators And Their Potential Theory
Author :
Publisher : World Scientific
Total Pages : 477
Release :
ISBN-10 : 9781783261208
ISBN-13 : 178326120X
Rating : 4/5 (08 Downloads)

Book Synopsis Pseudo Differential Operators And Markov Processes, Volume Ii: Generators And Their Potential Theory by : Niels Jacob

Download or read book Pseudo Differential Operators And Markov Processes, Volume Ii: Generators And Their Potential Theory written by Niels Jacob and published by World Scientific. This book was released on 2002-07-19 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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