In this paper, we claim two subjects. One is that the Weyl transform with symbol in the Gel’fand-Shilov space , is a trace class operator. The other one is that the Weyl transform with symbol in the generalized function , is a continuous linear transformation from the Gel’fand-Shilov space to . As r > 1, Z. Lozanov-Crvenković and D. Perišić have proved in [6] this result. Our second claim includes their result.
@article{1402,
title = {On the Weyl Transform with Symbol in the Gel'fand-Shilov Space and its Dual Space},
journal = {CUBO, A Mathematical Journal},
volume = {12},
year = {2010},
language = {en},
url = {http://dml.mathdoc.fr/item/1402}
}
Oka, Yasuyuki. On the Weyl Transform with Symbol in the Gel’fand-Shilov Space and its Dual Space. CUBO, A Mathematical Journal, Tome 12 (2010) . http://gdmltest.u-ga.fr/item/1402/