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PSEUDO DIFFERENTIAL OPERATORS AND MARKOV PROCESSES, VOLUME I: FOURIER ANALYSIS AND SEMIGROUPS: 1 - Hardcover

N Jacob

 
9781860942938: PSEUDO DIFFERENTIAL OPERATORS AND MARKOV PROCESSES, VOLUME I: FOURIER ANALYSIS AND SEMIGROUPS: 1

Synopsis

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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Review

"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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