Pseudo Differential Operators & Markov Processes, Volume I

Volume 1: Fourier Analysis and Semigroups. 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.