Twisted convolution, pseudo-differential operators and Fourier modulation spaces

Mathematics – Functional Analysis

Scientific paper

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16 pages

Scientific paper

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 $\omega$
is an appropriate weight and $1\le p\le 2$, then $L^p_{(\omega)}$ is an algebra
under the twisted convolution.

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