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Pseudo differential operators & Markov processes . Volume 1 Fourier analysis and semigroups [[electronic resource] /] / N. Jacob



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Autore: Jacob Niels Visualizza persona
Titolo: Pseudo differential operators & Markov processes . Volume 1 Fourier analysis and semigroups [[electronic resource] /] / N. Jacob Visualizza cluster
Pubblicazione: London, : Imperial College Press
River Edge, NJ, : distributed by World Scientific, c2001
Descrizione fisica: 1 online resource (516 p.)
Disciplina: 519.233
Soggetto topico: Fourier analysis
Pseudodifferential operators
Dirichlet forms
Markov processes
Soggetto genere / forma: Electronic books.
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: ""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 """"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 ""
""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) ""
""3.2 The Fourier Transform in Lp(Rn) 1
""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 ""
""3.10 Some Function Spaces related to Continuous Negative Definite Functions ""
Sommario/riassunto: 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
Titolo autorizzato: Pseudo differential operators & Markov processes  Visualizza cluster
ISBN: 1-281-86947-3
9786611869472
1-86094-974-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910454270403321
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