Abstract CONTENTS Introduction Chapter I. Preparatory results § 1. The cokernel of a
Fredholm morphism in spaces of sections § 2. The cokernel of a Fredholm morphism in …

The book is devoted to new and classical results of the theory of linear partial differential
operators in Gevrey spaces. The “microlocal approach” is adopted, by using pseudo …

The Gel'fand-Shilov spaces of type S are considered as topological algebras with respect to
the Moyal star product and their corresponding algebras of multipliers are defined and …

Понятие корректной задачи для дифференциального уравнения (системы) в частных
производных принадлежит Ж. Адамару [1]. В 1938 году ИГ Пет ровский опубликовал …

Abstract Spaces of generalized functions with exponential asymptotic behaviour are
considered. Convolutors in these spaces are completely described. It is shown that a …

We study the properties of the Gelfand-Shilov spaces S_ a_k^ b_n S akbn in the context of
deformation quantization. Our main result is a characterization of their corresponding …

We consider nuclear function spaces on which the Weyl-Heisenberg group acts
continuously and study the basic properties of the twisted convolution product of the …

The properties of the generalized Gelfand-Shilov spaces S_ b_n^ a_k S bnak are studied
from the viewpoint of deformation quantization. We specify the conditions on the defining …

KERNEL FUNCTIONS AND NUCLEAR SPACES As is well known, it is possible to represent
any complete, locally convex space E as (1) E Page 1 KERNEL FUNCTIONS AND NUCLEAR …

Let P (D) be a hypoelliptic pdo with constant coefficients and let E (M)(and (WM,∞ b′) be
the weighted spaces of C∞-functions (resp. of distributions) defined by Palamodov (resp …