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

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

By: Niels Jacob (author)Hardback

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Description

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.

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.

Product Details

  • ISBN13: 9781860942938
  • Format: Hardback
  • Number Of Pages: 516
  • ID: 9781860942938
  • ISBN10: 1860942938

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