This volume consists of sixteen peer-reviewed articles based on the invited talks at the International Conference on Pseudo-Differential Operators and Related Topics held at Växjö University in Sweden from June 22 to June 25, 2004. The objective is to look at pseudo-differential operators and related topics and to report recent advances in a broad spectrum of topics such as partial differential equations, quantization, Wigner transforms, Weyl transforms on Lie groups, mathematical physics, time-frequency analysis, frames, and stochastic processes. The book should be of great interest to graduate students and researchers in analysis, mathematical physics and mathematical sciences. It is a valuable complement to the volume "Advances in Pseudo-Differential Operators" published in the same series in 2004.
Author(s): M.S. Agranovich (auth.), Paolo Boggiatto, Luigi Rodino, Joachim Toft, M. W. Wong (eds.)
Series: Operator Theory: Advances and Applications 164
Edition: 1
Publisher: Birkhäuser Basel
Year: 2006
Language: English
Pages: 244
Tags: Operator Theory; Partial Differential Equations; Integral Equations
Strongly Elliptic Second Order Systems with Spectral Parameter in Transmission Conditions on a Nonclosed Surface....Pages 1-21
Well-Posedness of the Cauchy Problem for Some Degenerate Hyperbolic Operators....Pages 23-41
Quasilinear Hyperbolic Equations with SG-Coefficients....Pages 43-52
Representation of Solutions and Regularity Properties for Weakly Hyperbolic Systems....Pages 53-63
Global Calculus of Fourier Integral Operators, Weighted Estimates, and Applications to Global Analysis of Hyperbolic Equations....Pages 65-78
L p -Continuity for Pseudo-Differential Operators....Pages 79-94
Fredholm Property of Pseudo-Differential Operators on Weighted Hölder-Zygmund Spaces....Pages 95-114
Weyl Transforms and Convolution Operators on the Heisenberg Group....Pages 115-120
Uncertainty Principle, Phase Space Ellipsoids and Weyl Calculus....Pages 121-132
Pseudo-Differential Operator and Reproducing Kernels Arising in Geometric Quantization....Pages 133-151
Hudson’s Theorem and Rank One Operators in Weyl Calculus....Pages 153-159
Distributions and Pseudo-Differential Operators on Infinite-Dimensional Spaces with Applications in Quantum Physics....Pages 161-172
Ultradistributions and Time-Frequency Analysis....Pages 173-192
Frames and Generalized Shift-Invariant Systems....Pages 193-209
The Wigner Distribution of Gaussian Weakly Harmonizable Stochastic Processes....Pages 211-226
Reproducing Groups for the Metaplectic Representation....Pages 227-244
