Pseudo-Differential Operators and Related Topics

ISBN-13: 9783764375133 / Angielski / Twarda / 2006 / 244 str.

P. Boggiatto; Paolo Boggiatto; Luigi Rodino

Opis

As a satellite conference to the Fourth Congress of European Mathematics held at StockholmUniversityin2004, theInternationalConferenceonPseudo-Di?erential Operators and Related Topics was held at V] axjo ] University in Sweden from June 22 to June 25, 2004. The conferencewas supported by Vaxj ] oU ] niversity, theFIRB Research Group on Microlocal Analysis of Universit a di Torino, and the Int- national Society for Analysis, its Applications and Computation (ISAAC). The conferencewas well attended by about 50 mathematicians fromBulgaria, Canada, Denmark, England, Finland, Germany, Italy, Japan, Mexico, Serbiaand Monte- gro, Russia and Sweden. The conference covered a broad spectrum of topics related to pseudo-di?erential operators such as partial di?erential equations, quantization, Wigner transforms andWeyltransformsonLiegroups, mathematicalphysics, time-frequencyanalysis and stochastic processes. The speakers were enthusiastic about the prospect of publishing articles based on their presentations in a volume to be published in Professor Israel Gohberg s prestigious series entitled Operator Theory: Advances and Applications . All contributions from speakers have been carefully refereed and the articles c- lected in this volume give a representative ?avour of the mathematics presented at the conference. This volume is a permanent record of the conference and a valuable complement to the volume Advances in Pseudo-Di?erential Operators published in the same series in 2004, which is devoted to the Special Session on Pseudo-Di?erential Operators at the Fourth ISAAC Congress held at York U- versity in August 2003. Operator Theory: Advances and Applications, Vol. 164, 1 21 c 2006 Birkh] auser Verlag Basel/Switzerland Strongly Elliptic Second Order Systems with Spectral Parameter in Transmission Conditions on a Nonclosed Surface M. S."

Spis treści

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.

Blurb

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.