Beschreibung
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.
Inhalt
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.- Hudsons 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.
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