Pseudo-differential Operators And Related Topics

by Boggiatto, Paolo; Rodino, Luigi; Toft, Joachim; Wong, M. W.

• ISBN13: 9783764375133
• ISBN10: 3764375132
• Format: Hardcover
• Copyright: 2006-08-30
• Publisher: Birkhauser

Summary

This volume contains articles based on lectures given at the International Conference on Pseudo-differential Operators and Related Topics at Växjö University in Sweden from June 22 to June 25, 2005. Sixteen refereed articles by experts from Canada, Denmark, England, Italy, Japan, Mexico, Russia, Serbia and Montenegro, and Sweden are devoted to pseudo-differential operators and related topics. They cover a broad spectrum of topics such as partial differential equations, Wigner transforms, Weyl transforms on Euclidean spaces and Lie groups, mathematical physics, time-frequency analysis, frames and stochastic processes.

Table of Contents

Preface	vii
M.S. Agranovich
Strongly Elliptic Second Order Systems with Spectral Parameter in Transmission Conditions on a Nonclosed Surface	1	(22)
A. Ascanelli and M. Cicognani
Well-Posedness of the Cauchy Problem for Some Degenerate Hyperbolic Operators	23	(20)
M. Cappiello and L. Zanghirati
Quasilinear Hyperbolic Equations with SG-Coefficients	43	(10)
I. Kamotski and M. Ruzhansky
Representation of Solutions and Regularity Properties for Weakly Hyperbolic Systems	53	(12)
M. Ruzhansky and M. Sugimoto
Global Calculus of Fourier Integral Operators, Weighted Estimates, and Applications to Global Analysis of Hyperbolic Equations	65	(14)
G. Garello and A. Morando
Lp-Continuity for Pseudo-Differential Operators	79	(16)
V.S. Rabinovich
Fredholm Property of Pseudo-Differential Operators on Weighted Hölder-Zygmund Spaces	95	(20)
M.W. Wong
Weyl Transforms and Convolution Operators on the Heisenberg Group	115	(6)
M. de Gosson
Uncertainty Principle, Phase Space Ellipsoids and Weyl Calculus	121	(12)
K. Furutani
Pseudo-Differential Operator and Reproducing Kernels Arising in Geometric Quantization	133	(20)
J. Toft
Hudson's Theorem and Rank One Operators in Weyl Calculus	153	(8)
A. Khrennikov
Distributions and Pseudo-Differential Operators on Infinite-Dimensional Spaces with Applications in Quantum Physics	161	(12)
N. Teofanov
Ultradistributions and Time-Frequency Analysis	173	(20)
O. Christensen
Frames and Generalized Shift-Invariant Systems	193	(18)
P. Wahlberg
The Wigner Distribution of Gaussian Weakly Harmonizable Stochastic Processes	211	(16)
E. Cordero, F. De Mari, K. Nowak, and A. Tabacco
Reproducing Groups for the Metaplectic Representation	227