Pseudo-Differential Operators and Related Topics

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.

Sommario

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.

Dettagli sul prodotto

• Con la collaborazione di: Paolo Boggiatto (Editore), Luig Rodino (Editore), Luigi Rodino (Editore), Joachim Toft (Editore), Joakim Toft (Editore), Joachim Toft et al (Editore), M. W. Wong (Editore), Man Wah Wong (Editore)
• Editore: Springer, Basel
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 25.01.2006
• EAN: 9783764375133
• ISBN: 978-3-7643-7513-3
• Pagine: 244
• Peso: 608 g
• Illustrazioni: VI, 244 p.
• Serie: Operator Theory: Advances and Applications; Operator Theory: Advances and Applications
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi; Analysis, C, Integralrechnung und -gleichungen, Mathematics and Statistics, Partial Differential Equations, Differential calculus & equations, Integral calculus & equations, Integral Equations, Analysis (Mathematics), Functional analysis & transforms, Mathematical analysis, Operator Theory