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

ISBN: 9781860942938 出版年：2001 页码：517 Niels Jacob World Scientific Publishing Company

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.