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The short-time Fourier transform of distributions of exponential type and Tauberian theorems for shift-asymptotics (1312.0986v2)
Published 3 Dec 2013 in math.FA
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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