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.

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Articles li�s � Pseudo Differential Operators & Markov Processes...

Pseudo Differential Operators & Markov Processes : Fourier Analysis and Semigroups

Jacob, Niels

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