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Pseudo Differential Operators And Markov Processes, Volume I: Fourier Analysis And Semigroups(English, Hardcover, Jacob Niels) is written by Jacob Niels and published by Imperial College Press. It's available with International Standard Book Number or ISBN identification 1860942938 (ISBN 10) and 9781860942938 (ISBN 13).
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.