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.
Inhaltsverzeichnis
Strongly Elliptic Second Order Systems with Spectral Parameter in Transmission Conditions on a Nonclosed Surface. - Well-Posedness of the Cauchy Problem for Some Degenerate Hyperbolic Operators. - Quasilinear Hyperbolic Equations with SG-Coefficients. - Representation of Solutions and Regularity Properties for Weakly Hyperbolic Systems. - Global Calculus of Fourier Integral Operators, Weighted Estimates, and Applications to Global Analysis of Hyperbolic Equations. - Lp-Continuity for Pseudo-Differential Operators. - Fredholm Property of Pseudo-Differential Operators on Weighted Hölder-Zygmund Spaces. - Weyl Transforms and Convolution Operators on the Heisenberg Group. - Uncertainty Principle, Phase Space Ellipsoids and Weyl Calculus. - Pseudo-Differential Operator and Reproducing Kernels Arising in Geometric Quantization. - Hudson s Theorem and Rank One Operators in Weyl Calculus. - Distributions and Pseudo-Differential Operators on Infinite-Dimensional Spaces with Applications in Quantum Physics. - Ultradistributions and Time-Frequency Analysis. - Frames and Generalized Shift-Invariant Systems. - The Wigner Distribution of Gaussian Weakly Harmonizable Stochastic Processes. - Reproducing Groups for the Metaplectic Representation.
