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.
Niels Jacob
PSEUDO DIFF OPERATOR & MARKOV PROC..(V2) [PDF ebook]
Volume II: Generators and Their Potential Theory
PSEUDO DIFF OPERATOR & MARKOV PROC..(V2) [PDF ebook]
Volume II: Generators and Their Potential Theory
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Мова Англійська ● Формат PDF ● Сторінки 476 ● ISBN 9781860949562 ● Розмір файлу 16.2 MB ● Видавець World Scientific Publishing Company ● Місто Singapore ● Країна SG ● Опубліковано 2002 ● Завантажувані 24 місяців ● Валюта EUR ● Посвідчення особи 2428746 ● Захист від копіювання Adobe DRM
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