Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type

Published 30 Oct 2020 in math.FA | (2010.16346v2)

Abstract: We deduce trace properties for modulation spaces of Gelfand-Shilov distributions. We use these properties to show that pseudo-differential operators with amplitudes in suitable modulation spaces, agree with pseudo-differential operators of normal type whose symbols belong to (other) modulation spaces.

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