Pseudo-Differential Operators: Analysis, Applications and Computations (eBook)

Luigi Rodino, M. W. Wong, Hongmei Zhu (Herausgeber)

eBook Download: PDF

2011 | 2011
VIII, 308 Seiten
Springer Basel (Verlag)
978-3-0348-0049-5 (ISBN)

Infos

This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London on July 13-18, 2009. Featured in this volume are the analysis, applications and computations of pseudo-differential operators in mathematics, physics and signal analysis. This volume is a useful complement to the volumes 'Advances in Pseudo-Differential Operators', 'Pseudo-Differential Operators and Related Topics', 'Modern Trends in Pseudo-Differential Operators', 'New Developments in Pseudo-Differential Operators' and 'Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations' published in the same series in, respectively, 2004, 2006, 2007, 2009 and 2010.

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 13.3.2011
• Reihe/Serie: Operator Theory: Advances and Applications
• Reihe/Serie: Operator Theory: Advances and Applications
• Zusatzinfo: VIII, 308 p.
• Verlagsort: Basel
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Schlagworte: Electrical and Computer Engineering • Geometry • operator theory • Partial differential equations • quantum mechanics
• ISBN-10: 3-0348-0049-5 / 3034800495
• ISBN-13: 978-3-0348-0049-5 / 9783034800495