Wave front sets with respect to Banach spaces of ultradistributions. Characterisation via the short-time Fourier transform

Published 31 Jan 2018 in math.AP | (1801.10358v2)

Abstract: We define ultradistributional wave front sets with respect to translation-modulation invariant Banach spaces of ultradistributions having solid Fourier image. The main result is their characterisation by the short-time Fourier transform.

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