Pseudo Differential Operators And Markov Processes, Volume I: Fourier Analysis And Semigroups

Author:   Niels Jacob (Swansea Univ, Uk)
Publisher:   Imperial College Press
ISBN:  

9781860942938


Pages:   516
Publication Date:   29 November 2001
Format:   Hardback
Availability:   In Print   Availability explained
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Pseudo Differential Operators And Markov Processes, Volume I: Fourier Analysis And Semigroups


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Overview

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.

Full Product Details

Author:   Niels Jacob (Swansea Univ, Uk)
Publisher:   Imperial College Press
Imprint:   Imperial College Press
Dimensions:   Width: 15.70cm , Height: 3.00cm , Length: 23.00cm
Weight:   0.816kg
ISBN:  

9781860942938


ISBN 10:   1860942938
Pages:   516
Publication Date:   29 November 2001
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Essentials from analysis: calculus results; convexity; some interpolation theory. Fourier analysis and convolution semigroups: the Paley-Wiener-Schwartz theorem; bounded Borel measures and positive definite functions; convolution semigroups and negative definite functions; the Levy-Khinchin formula for continuous negative definite functions; Bernstein functions and subordination of convolution semigroups; Fourier multiplier theorems. One parameter semigroups: strongly continuous operator semigroups; subordination in the sense of Bochner for operator semigroups; generators of Feller semigroups; Dirichlet forms and generators of sub-Markovian semigroups; and other papers.

Reviews

The book is carefully written and each chapter is concluded with interesting historical, contemporary, and bibliographical comments with indications for further reading. Mathematical Reviews, 2003


"""The book is carefully written and each chapter is concluded with interesting historical, contemporary, and bibliographical comments with indications for further reading."" Mathematical Reviews, 2003"


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