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Pseudo-Differential Operators: Analysis, Applications and Computations

Pseudo-Differential Operators: Analysis, Applications and Computations

Paperback

Series: Operator Theory: Advances and Applications, Book 213

General Mathematics

ISBN10: 3034803230
ISBN13: 9783034803236
Publisher: Birkhauser
Published: Apr 21 2013
Pages: 308
Weight: 1.00
Height: 0.80 Width: 6.10 Depth: 9.00
Language: English

Preface.- Adaptive Wavelet Computations for Inverses of Pseudo-Differential Operators.- Spectral Theory of Pseudo-Differential Operators on S1.- A Characterization of Compact Pseudo-Differential Operators on S1.- Melin Operator with Asymptotics on Manifolds with Corners.- The Iterative Structure of the Corner Calculus.- Elliptic Equations and Boundary Value Problems in Non-Smooth Domains.- Calculus of Pseudo-Differential Operators and a Local Index of Dirac Operators.- Lp Bounds for a Class of Fractional Powers of Subelliptic Operators.- The Heat Kernel and Green Function of the Generalized Hermite Operator, and the Abstract Cauchy Problem for the Abstract Hermite Operator.- Local Exponential Estimates for h-Pseudo-Differential Operators with Operator-Valued Symbols.- Global Solvability in Functional Spaces for Smooth Nonsingular Vector Fields in the Plane.- Fuchsian Mild Microfunctions with Fractional Order and their Applications to Hyperbolic Equations.- The Continuity of Solutions with respect to a Parameter to Symmetric Hyperbolic Systems.- Generalized Gevrey Ultradistributions and their Microlocal Analysis.- Weyl Rule and Pseudo-Differential Operators for Arbitrary Operators.- Time-Frequency Characterization of Stochastic Differential Equations.- Wigner Representation Associated with Linear Transformations of the Time-Frequency Plane.- Some Remarks on Localization Operators.

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