On the Weyl transform with symbol in the Gel’fand-Shilov space and its dual space
Author
Oka, Yasuyuki
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/140210.4067/S0719-06462010000300015
Abstract
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.