Wave-front sets related to quasi-analytic Gevrey sequences

Abstract

© 2019, Mathematical Institute of the Serbian Academy of Sciences and Arts. Quasi-analytic wave-front sets of distributions which correspond to the Gevrey sequence p!s, s ∈ [1/2, 1) are defined and investigated. The propagation of singularities are deduced by considering sequences of Gaussian windowed short-time Fourier transforms of distributions which are modifications of the original distributions by suitable restriction-extension techniques. Basic micro-local properties of the new wave-fronts are thereafter established.