Pseudo-Differential Operators, Generalized Functions and Asymptotics - Softcover

Inhaltsangabe

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.​

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