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 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

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 
@article{10_2298_BMAT0631010T,
     author = {J. Toft},
     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 },
     year = {2006},
     volume = {31},
     doi = {10.2298/BMAT0631010T},
     zbl = {1119.47040},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/BMAT0631010T/}
}
TY  - JOUR
AU  - J. Toft
TI  - Positivity in twisted convolution algebra and Fourier modulation spaces
JO  - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
PY  - 2006
SP  - 75 
VL  - 31
UR  - http://geodesic.mathdoc.fr/articles/10.2298/BMAT0631010T/
DO  - 10.2298/BMAT0631010T
LA  - en
ID  - 10_2298_BMAT0631010T
ER  - 
%0 Journal Article
%A J. Toft
%T Positivity in twisted convolution algebra and Fourier modulation spaces
%J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
%D 2006
%P 75 
%V 31
%U http://geodesic.mathdoc.fr/articles/10.2298/BMAT0631010T/
%R 10.2298/BMAT0631010T
%G en
%F 10_2298_BMAT0631010T
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

Cité par Sources :