• Differential operators with constant coefficients; Gevrey pseudo-differential operators of infinite order; canonical transformations and classical analytic Fourier integral operators; propagation of Gevrey singularities; Gevrey hypoellipticity; the Cauchy problem in the Gevrey classes; local solvability in Gevrey classes.

"The book is well written, reasonably self-contained, gives a number of examples, and has an adequate bibliography." Otto Liess SIAM Review, 1995 "The book is a good introduction to the Gevrey microlocal analysis for students and post-graduate students, but it is also useful for all specialists working in the domain of the general theory of linear partial differential operators." Mathematics Abstracts