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Autore: | Jacob Niels |
Titolo: | Pseudo differential operators & Markov processes . Volume 1 Fourier analysis and semigroups [[electronic resource] /] / N. Jacob |
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
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""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 |
ISBN: | 1-281-86947-3 |
9786611869472 | |
1-86094-974-6 | |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910454270403321 |
Lo trovi qui: | Univ. Federico II |
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