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Convolutors of translation-modulation invariant Banach spaces of ultradistributions

Published 2 Jun 2021 in math.FA | (2106.01244v2)

Abstract: We study the space of tempered ultradistributions whose convolutions with test functions are all contained in a given translation-modulation invariant Banach space of ultradistributions. Our main result will be the first structural theorem for the aforementioned space. As an application we consider several extensions of convolution.

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