04950nam 2200649Ia 450 991077837220332120230607222039.01-86094-956-8(CKB)1000000000480116(EBL)1681305(OCoLC)879025167(SSID)ssj0000283235(PQKBManifestationID)12040609(PQKBTitleCode)TC0000283235(PQKBWorkID)10249826(PQKB)11180129(MiAaPQ)EBC1681305(WSP)0000P264(Au-PeEL)EBL1681305(CaPaEBR)ebr10201262(CaONFJC)MIL491667(EXLCZ)99100000000048011620020930d2002 uy 0engur|n|---|||||txtccrGenerators and their potential theory[electronic resource] /N. JacobLondon Imperial College Pressc20021 online resource (476 p.)Pseudo differential operators & Markov processes ;v. 2Description based upon print version of record.1-86094-324-1 Includes bibliographical references and index.""Contents ""; ""Preface ""; ""Notation ""; ""General Notation ""; ""Functions and Distributions ""; ""Measures and Integrals ""; ""Spaces of Functions Measures and Distributions ""; ""Some Families of Functions ""; ""Norms Scalar Products and Seminorms """"Notation from Functional Analysis Operators """"Notations related to Pseudo-Differential Operators ""; ""Notations related to Potential Theory and Harmonic Analysis ""; ""Introduction: Pseudo-Differential Operators and Markov Processes ""; ""II Generators and Their Potential Theory """"1 Introduction """"2 Generators of Feller and Sub-Markovian Semigroups ""; ""2.1 Second Order Elliptic Differential Operators as Generators of Feller and Sub-Markovian Semigroups """"2.2 Some Second Order Differential Operators with Non-Negative Characteristic Form as Generators of Sub-Markovian Semigroups """"2.3 Some Properties of Pseudo-Differential Operators with Negative Definite Symbols """"2.4 Hoh's Symbolic Calculus for Pseudo-Differential Operators with Negative Definite Symbols """"2.5 Estimates for Pseudo-Differential Operators with Negative Definite Symbols Using the Symbolic Calculus """"2.6 Feller Semigroups and Sub-Markovian Semigroups Generated by Pseudo-Differential Operators "" 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 semSemigroups of operatorsPseudodifferential operatorsPotential theory (Mathematics)Semigroups of operators.Pseudodifferential operators.Potential theory (Mathematics)519.233Jacob Niels67291MiAaPQMiAaPQMiAaPQBOOK9910778372203321Generators and their potential theory3856162UNINA