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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语言 英语 ● 格式 PDF ● 网页 476 ● ISBN 9781860949562 ● 文件大小 16.2 MB ● 出版者 World Scientific Publishing Company ● 市 Singapore ● 国家 SG ● 发布时间 2002 ● 下载 24 个月 ● 货币 EUR ● ID 2428746 ● 复制保护 Adobe DRM
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