Pseudo-Differential Operators and Related Topics / edited by Paolo Boggiatto, Luigi Rodino, Joachim Toft, M. W. Wong.

Springer eBooks

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.

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.

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