Pilipović S., Toft J. (eds.) Pseudo-Differential Operators and Generalized Functions

Basel: Birkhäuser, 2015. - 290p.This book gathers peer-reviewed contributions representing modern trends in the theory of generalized functions and pseudo-differential operators. It is dedicated to Professor Michael Oberguggenberger (Innsbruck University, Austria) in honour of his 60th birthday. The topics covered were suggested by the ISAAC Group in Generalized Functions (GF) and the ISAAC Group in Pseudo-Differential Operators (IGPDO), which met at the 9th ISAAC congress in Krakow, Poland in August 2013. Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis, harmonic analysis, global analysis, geometry, quantization, mathematical physics, and time-frequency analysis. Featuring both essays and research articles, the book will be of great interest to graduate students and researchers working in analysis, PDE and mathematical physics, while also offering a valuable complement to the volumes on this topic previously published in the OT series.A Class of Fourier Integral Operators on Manifolds with Boundary
The Problem of Iterates in Some Classes of Ultradifferentiable Functions
On Asymptotically Almost Periodic Generalized Solutions of Differential Equations
Gabor Wave Packets and Evolution Operators
A Weighted Version of Wiener’s Lemma in p-normed Algebras for 0 < p ≤ 1
Time-Frequency Initial Value Problems for Random MIMO Systems
Microlocal Regularity of Besov Type for Solutions to Quasi-elliptic Nonlinear Partial Differential Equations
Gelfand–Shilov Type Spaces Through Hermite Expansions
Cauchy Problem for Second-order Hyperbolic Equations for Shubin Pseudodifferential Operators
A Regularization Approach to Non-smooth Symplectic Geometry
Equivalent Conditions for Integrability of Distributions
Time-periodic Second-order Hyperbolic Equations: Fredholmness, Regularity, and Smooth Dependence
The Ridgelet Transform and Quasiasymptotic Behavior of Distributions
Equations Involving Malliavin Derivative: A Chaos Expansion Approach
Generalized and Classical Solutions to a Characteristic Cauchy Problem with Hörmander Hypotheses
On Generalized Solutions to Stochastic Systems
Geodesic Completeness of Generalized Space-times
Gabor Analysis for a Broad Class of Quasi-Banach Modulation Spaces
Spectral Analysis of Daubechies Localization Operators