On the characterisations of wave front sets via the short-time Fourier transform

Published 18 Jan 2018 in math.AP | (1801.05999v2)

Abstract: It is well known that the classical and Sobolev wave fronts were extended into non-equivalent global versions by the use of the short-time Fourier transform. In this very short paper we give complete characterisations of initial wave front sets via the short-time Fourier transform.

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