Boggiatto / Rodino / Toft Pseudo-Differential Operators and Related Topics

1. Auflage 2006
ISBN: 978-3-7643-7514-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 164, 244 Seiten, eBook

Reihe: Operator Theory: Advances and Applications

"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."

Zielgruppe

Research

Autoren/Hrsg.

Boggiatto, Paolo

Rodino, Luigi

Toft, Joachim

Wong, M. W.

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.