The article surveys the main topics, techniques, and results of the theory of periodic
operators arising in mathematical physics and other areas. Close attention is paid to …

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 …

We observe that many special functions are solutions of so-called holonomic systems.
Bernstein's deep theory of holonomic systems is then invoked to show that any identity …

In this article we have presented an approach to the mathematical description of dynamical
systems. The central notion is the behavior, which consists of the set of time trajectories that …

This monograph is devoted to the general theory of statistical inference. The approaches
developed here permit the author to consider, from a single point of view, the main concepts …

The most well-known methods for the exact analysis of boundary value problems for linear
PDEs are the methods of (a) classical transforms,(b) images, and (c) Green's function …

This volume presents the general theory of generalized functions, including the Fourier,
Laplace, Mellin, Hilbert, Cauchy-Bochner and Poisson integral transforms and operational …

A continuous resp. discrete r-dimensional (r≥ 1) system is the solution space of a system of
linear partial differential resp. difference equations with constant coefficients for a vector of …

A rigorous methodology for the analysis of initial-boundary value problems on the half-line,
is applied to the nonlinear § (NLS), to the sine-Gordon (sG) in laboratory coordinates, and to …