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arXiv · 1312.0986

The short-time Fourier transform of distributions of exponential type and Tauberian theorems for shift-asymptotics

Sanja Kostadinova·Stevan Pilipovic·Katerina Saneva·Jasson Vindas
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Abstract

We study the short-time Fourier transform on the space $\mathcal{K}_{1}'(\mathbb{R}^n)$ of distributions of exponential type. We give characterizations of $\mathcal{K}_{1}'(\mathbb{R}^n)$ and some of its subspaces in terms of modulation spaces. We also obtain various Tauberian theorems for the short-time Fourier transform.

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Sanja Kostadinova, Stevan Pilipovic, Katerina Saneva, Jasson Vindas. 2013-12-03. The short-time Fourier transform of distributions of exponential type and Tauberian theorems for shift-asymptotics. https://doi.org/10.2298/fil1611047k

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