Geodesic
Positivity in twisted convolution algebra and Fourier modulation spaces
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 31 (2006), p. 75

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Let ${\mathcal W}^{p,q}$ be the Fourier modulation space ${\mathscr F}M^{p,q}$ and let $*_\sigma$ be the twisted convolution. If $a\in {\mathscr D}'$ such that $(a*_\sigma \fy ,\fy)\ge 0$ for every $\fy \in C_0^\infty$, and $\chi \in \mathscr S$ such that $\chi (0)\neq 0$, then we prove that $\chi a\in {\mathcal W}^{p,\infty}$ iff $a\in {\mathcal W}^{p,\infty}$. We also present some extensions to the case when weighted Fourier modulation spaces are used.
DOI : 10.2298/BMAT0631010T
Classification : 47B65 35A21 35S05
Keywords: twisted convolution, Fourier modulation, positivity, continuity 
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     title = {Positivity in twisted convolution algebra and {Fourier} modulation spaces},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {75 },
     publisher = {mathdoc},
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     year = {2006},
     doi = {10.2298/BMAT0631010T},
     zbl = {1119.47040},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/BMAT0631010T/}
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J. Toft. Positivity in twisted convolution algebra and Fourier modulation spaces. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 31 (2006), p. 75 . doi: 10.2298/BMAT0631010T

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