The short-time fourier transform of distributions of exponential type and tauberian theorems for shift-asymptotics

Abstract

© 2016, University of Nis. All rights reserved. We study the short-time Fourier transform on the space K’1(ℝn) of distributions of exponential type. We give characterizations of K’1(ℝn) and some of its subspaces in terms of modulation spaces. We also obtain various Tauberian theorems for the short-time Fourier transform.