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010   $a9786611869472
010   $a1-86094-974-6
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035   $a(OCoLC)815742426
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100   $a20020329d2001      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aPseudo differential operators & Markov processes$hVolume 1$iFourier analysis and semigroups /$fN. Jacob
205   $a1st ed.
210   $aLondon $cImperial College Press ;$aRiver Edge, NJ $cdistributed by World Scientific$dc2001
215   $a1 online resource (516 p.)
300   $aDescription based upon print version of record.
311   $a1-86094-293-8 
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                                                  """"Introduction: Pseudo Differential Operators and Markov Processes                                                                       ""; ""I Fourier Analysis and Semigroups                                        ""; ""1 Introduction                     ""; ""2 Essentials from Analysis                                 ""; ""2.1 Calculus Results                           ""; ""2.2 Some Topology                        ""
327   $a""2.3 Measure Theory and Integration                                         """"2.4 Convexity                    ""; ""2.5 Analytic Functions                             ""; ""2.6 Functions and Distributions                                      ""; ""2.7 Some Functional Analysis                                   ""; ""2.8 Some Interpolation Theory                                    ""; ""3 Fourier Analysis and Convolution Semigroups                                                    ""; ""3.1 The Fourier Transform in S(Rn)                                         ""
327   $a""3.2 The Fourier Transform in Lp(Rn) 1 <p< 2                                                  """"3.3 The Fourier Transform in S'(Rn)                                          ""; ""3.4 The Paley-Wiener-Schwartz Theorem                                            ""; ""3.5 Bounded Borel Measures and Positive Definite Functions                                                                 ""; ""3.6 Convolution Semigroups and Negative Definite Functions                                                                 ""
327   $a""3.7 The Levy-Khinchin Formula for Continuous Negative Definite Functions                                                                               """"3.8 Laplace and Stieltjes Transform and Completely Monotone Functions                                                                            ""; ""3.9 Bernstein Functions and Subordination of Convolution Semigroups                                                                          ""
327   $a""3.10 Some Function Spaces related to Continuous Negative Definite Functions                                                                                  ""
330   $a After recalling essentials of analysis - including functional analysis, convexity, distribution theory and interpolation theory - this book handles two topics in detail: Fourier analysis, with emphasis on positivity and also on some function spaces and multiplier theorems; and one-parameter operator semigroups with emphasis on Feller semigroups and Lp-sub-Markovian semigroups. In addition, Dirichlet forms are treated. The book is self-contained and offers new material originated by the author and his students.  Sample Chapter(s)Introduction: Pseudo Differential Operators and Markov Processes 
606   $aFourier analysis
606   $aPseudodifferential operators
606   $aDirichlet forms
606   $aMarkov processes
615  0$aFourier analysis.
615  0$aPseudodifferential operators.
615  0$aDirichlet forms.
615  0$aMarkov processes.
676   $a519.233
700   $aJacob$b Niels$067291
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910816752803321
996   $aPseudo differential operators & Markov processes$9147332
997   $aUNINA