Items related to PSEUDO DIFFERENTIAL OPERATORS AND MARKOV PROCESSES,...

PSEUDO DIFFERENTIAL OPERATORS AND MARKOV PROCESSES, VOLUME II: GENERATORS AND THEIR POTENTIAL THEORY - Hardcover

Jacob, Niels

 
9781860943249: PSEUDO DIFFERENTIAL OPERATORS AND MARKOV PROCESSES, VOLUME II: GENERATORS AND THEIR POTENTIAL THEORY

Synopsis

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.

"synopsis" may belong to another edition of this title.

Review

...this book is clearly written; theorems and propositions are well formulated... -- Mathematical Reviews, 2003

"About this title" may belong to another edition of this title.