Pseudo-Differential Operators and Related Topics

Paolo Boggiatto, Luigi Rodino, Joachim Toft, M. W. Wong (Herausgeber)

Buch | Hardcover

VI, 244 Seiten

2006 | 2006
Springer Basel (Verlag)
978-3-7643-7513-3 (ISBN)

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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.

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.

Erscheint lt. Verlag	19.1.2006
Reihe/Serie	Operator Theory: Advances and Applications
Zusatzinfo	VI, 244 p.
Verlagsort	Basel
Sprache	englisch
Maße	165 x 235 mm
Gewicht	610 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	convolution • Distribution • hyperbolic equation • Integral equations • Integralrechnung • Operatoren • partial differential equation • Partial differential equations • Partielle Differenzialgleichungen • pseudo-differential operators
ISBN-10	3-7643-7513-2 / 3764375132
ISBN-13	978-3-7643-7513-3 / 9783764375133
Zustand	Neuware