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

Inbunden, Engelska, 2001

2 554 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2001-11-29
Mått:164 x 224 x 31 mm
Vikt:820 g
Format:Inbunden
Språk:Engelska
Antal sidor:516
Förlag:Imperial College Press
ISBN:9781860942938

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

"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

Innehållsförteckning

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.