Pseudo-Differential Operators and Markov Processes Volume 1. Fourier Analysis and Semigroups By Niels Jacob, N. Jacob
2001 | 517 Pages | ISBN: 1860942938 | PDF | 15 MB
2001 | 517 Pages | ISBN: 1860942938 | PDF | 15 MB
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.