Pseudo-Differential Operators, Generalized Functions and Asymptotics

By Shahla Molahajloo

Book Overview

Preface.- Elliptic Theory for Operators Associated with Diffeomorphisms of Smooth Manifolds.- The Singular Functions of Branching Edge Asymptotics.- The Heat Kernel and Green Function of the Sub-Laplacian on the Heisenberg Group.- Metaplectic Equivalence of the Hierarchical Twisted Laplacian.- The Heat Kernel and Green Function of a Sub-Laplacian on the Hierarchical Heisenberg Group.- Lp-Bounds for Pseudo-Differential Operators on the Torus.- Multiplication Properties in Gelfand-Shilov Pseudo-Differential Calculus.- Operator Invariance.- Initial Value Problems in the Time-Frequency Domain.- Polycaloric Distributions and the Generalized Iterated Heat Operator.- Smoothing Effect and Fredholm Property for First-Order Hyperbolic PDEs.- A Note on Wave-Front Sets of Roumieu Type Ultradistributions.- Ordinary Differential Equations in Algebras of Generalized Functions.- Asymptotically Almost Periodic Generalized Functions.- Wave Equations and Symmetric First-Order Systems in Case of Low Regularity.- Concept of Delta-Shock Type Solutions to Systems of Conservation Laws and the Rankine-Hugoniot Conditions.- Classes of Generalized Functions with Finite Type Regularities.- The Wave Equation with a Discontinuous Coefficient Depending on Time Only: Generalized Solutions and Propagation of Singularities.- Gerenalized Solutions of Abstract Stochastic Problems.- Nonhomogeneous First-Order Linear Malliavin Type Differential Equation.​

• Format: Paperback
• Language: English
• ISBN: 3034808038
• ISBN13: 9783034808033
• Release Date: March 2015
• Publisher: Birkhauser
• Length: 370 Pages
• Weight: 1.17 lbs.
• Dimensions: 0.8" x 6.1" x 9.2"