LEADER 04984nam 2200661Ia 450 001 9910451919203321 005 20200520144314.0 010 $a1-86094-956-8 035 $a(CKB)1000000000480116 035 $a(EBL)1681305 035 $a(OCoLC)879025167 035 $a(SSID)ssj0000283235 035 $a(PQKBManifestationID)12040609 035 $a(PQKBTitleCode)TC0000283235 035 $a(PQKBWorkID)10249826 035 $a(PQKB)11180129 035 $a(MiAaPQ)EBC1681305 035 $a(WSP)0000P264 035 $a(Au-PeEL)EBL1681305 035 $a(CaPaEBR)ebr10201262 035 $a(CaONFJC)MIL491667 035 $a(EXLCZ)991000000000480116 100 $a20020930d2002 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGenerators and their potential theory$b[electronic resource] /$fN. Jacob 210 $aLondon $cImperial College Press$dc2002 215 $a1 online resource (476 p.) 225 1 $aPseudo differential operators & Markov processes ;$vv. 2 300 $aDescription based upon print version of record. 311 $a1-86094-324-1 320 $aIncludes bibliographical references and index. 327 $a""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 "" 327 $a""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 "" 327 $a""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 "" 327 $a""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 "" 327 $a""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 "" 327 $a""2.6 Feller Semigroups and Sub-Markovian Semigroups Generated by Pseudo-Differential Operators "" 330 $a 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 sem 606 $aSemigroups of operators 606 $aPseudodifferential operators 606 $aPotential theory (Mathematics) 608 $aElectronic books. 615 0$aSemigroups of operators. 615 0$aPseudodifferential operators. 615 0$aPotential theory (Mathematics) 676 $a519.233 700 $aJacob$b Niels$067291 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910451919203321 996 $aGenerators and their potential theory$91926479 997 $aUNINA