โ Scribed by Boggiatto P., Rodino L., Toft J., Wong M. (eds.)
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This volume contains articles based on lectures given at the International Conference on Pseudo-differential Operators and Related Topics at Vรคxjรถ 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.
Contents......Page 6
Preface......Page 8
Strongly Elliptic Second Order Systems with Spectral Parameter in Transmission Conditions on a Nonclosed Surface......Page 9
Well-Posedness of the Cauchy Problem for Some Degenerate Hyperbolic Operators......Page 30
Quasilinear Hyperbolic Equations with SG-Coefficients......Page 49
Representation of Solutions and Regularity Properties for Weakly Hyperbolic Systems......Page 59
Global Calculus of Fourier Integral Operators, Weighted Estimates, and Applications to Global Analysis of Hyperbolic Equations......Page 70
L[sup(p)]-Continuity for Pseudo-Differential Operators......Page 84
Fredholm Property of Pseudo-Differential Operators on Weighted Hรถlder-Zygmund Spaces......Page 100
Weyl Transforms and Convolution Operators on the Heisenberg Group......Page 120
Uncertainty Principle, Phase Space Ellipsoids and Weyl Calculus......Page 126
Pseudo-Differential Operator and Reproducing Kernels Arising in Geometric Quantization......Page 138
Hudsonโs Theorem and Rank One Operators in Weyl Calculus......Page 157
Distributions and Pseudo-Differential Operators on Infinite-Dimensional Spaces with Applications in Quantum Physics......Page 164
Ultradistributions and Time-Frequency Analysis......Page 176
Frames and Generalized Shift-Invariant Systems......Page 196
The Wigner Distribution of Gaussian Weakly Harmonizable Stochastic Processes......Page 213
Reproducing Groups for the Metaplectic Representation......Page 229
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This volume contains articles based on lectures given at the International Conference on Pseudo-differential Operators and Related Topics at Vรคxjรถ University in Sweden from June 22 to June 25, 2005. Sixteen refereed articles by experts from Canada, Denmark, England, Italy, Japan, Mexico, Russia, Ser
This Research Note presents in a clear and detailed manner a certain group of results pertaining to some variants, extensions and generalizations on the theory of pseudo-differential operators as introduced in the pioneering work of Kohn-Nirenberg. The author presents a discussion of concepts of ord
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