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

Jacob, Niels

ISBN 10: 1860943241 ISBN 13: 9781860943249

Published by Imperial College Pr, 2002

Language: English

Condition: New Hardcover

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Bibliographic Details

Title

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

Publisher

Imperial College Pr

Publication Date

2002

Language

English

ISBN 10

1860943241

ISBN 13

9781860943249

Binding

Hardcover

Edition

2nd Edition

Condition

New

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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.

Review

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

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