Twisted convolution, pseudo-differential operators and Fourier modulation spaces

2008/11/04 by Joachim Toft, Toft, Joachim
Mathematics · #Mathematical Analysis and Transform Methods #math.AP #math.FA

paper · pdf · doi:10.48550/arxiv.0811.0519

16 pages

arxiv created 2008/12/12 · arxiv updated 2009/12/01

Abstract

We discuss continuity of the twisted convolution on (weighted) Fourier modulation spaces. We use these results to establish continuity results for the twisted convolution on Lebesgue spaces. For example we prove that if ω is an appropriate weight and 1≤ p≤ 2, then L^p_(ω) is an algebra under the twisted convolution.

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