Wave front sets with respect to Banach spaces of ultradistributions. Characterisation via the short-time Fourier transform
classification
🧮 math.AP
keywords
fourierbanachcharacterisationfrontrespectsetsshort-timespaces
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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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