The purpose of this monograph is to give an exposition of the global quantization of
operators on nilpotent homogeneous Lie groups. We also present the background analysis …

This book provides the first coherent account of the area of analysis that involves the
Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave …

This monograph is devoted to the development of the theory of pseudo-di? erential n
operators on spaces with symmetries. Such spaces are the Euclidean space R, the n torus T …

The Heisenberg group plays an important role in several branches of mathematics, such as
representation theory, partial differential equations, number theory, several complex …

This text has two goals. It describes a topic: band and band-dominated operators and their
Fredholm theory, and it introduces a method to study this topic: limit operators. Band …

Pseudo-differential and Fourier series operators on the torus T^n=(R/2πZ)^n are analyzed
by using global representations by Fourier series instead of local representations in …

Global quantization of pseudo-differential operators on general compact Lie groups G is
introduced relying on the representation theory of the group rather than on expressions in …

In this paper we give several global characterisations of the Hörmander class Ψ^ m (G) Ψ m
(G) of pseudo-differential operators on compact Lie groups in terms of the representation …

A gauge field is given by a connection on a principal bundle P→ M. We consider the
semiclassical behavior of a family of Schrödinger operators associated with a gauge field, in …

The interplay between the theory of Toeplitz operators on the circle and the theory of
pseudodifferential operators on the line (ie Wiener-Hopf operators) is by now well-known …