From the reviews:" Volumes III and IV complete L. Hörmander's treatise on linear partial
differential equations. They constitute the most complete and up-to-date account of this …

Pseudo-differential operators have been developed as a tool for the study of elliptic
differential equations. Suitably extended versions are also applicable to hypoelliptic …

Sheaf theory, not really being a subject, cannot properly be said to have a history. Rather, it
is an octopus spreading itself throughout everyone else's history. Of course," everyone" is an …

On the index of Toeplitz operators of several complex variables Page 1 Inventiones math. 50,
249-272 (1979) Ifl vell tiolle$ matbematicae 9 by Springer-Verlag 1979 On the Index of Toeplitz …

In this part, we present a survey of mean-periodicity phenomena which arise in connection
with classical questions in complex analysis, partial differential equations, and more …

The so-called" Cauchy Problem" has a very long and classical story, from J. Hadamard [7],
IG Petrovski [22], J. Leray [20], L. G~ rding [6].... to, for example, the last results of Ivrii and …

Why do solutions of linear analytic PDE suddenly break down? What is the source of these
mysterious singularities, and how do they propagate? Is there a mean value property for …

In this paper we investigate the well-posedness of the Cauchy problem for the wave
equation for sums of squares of vector fields on compact Lie groups. We obtain the loss of …

Cet article (1) est consacré à l'étude des opérateurs (pseudo)-différentiels analytiques P
dont la variété caractéristique est régulière, involutive, de codimension M> L Nous …

Analogues of the some basic notions of pluri-potential theory on strictly pseudo-convex
domains in Cm are developed for Grauert tubes Mτ in complexifications of real analytic …