On the Weyl transform with symbol in the Gel‘fand-Shilov space and its dual space
-
Yasuyuki Oka
yasuyu-o@hoffman.cc.sophia.ac.jp
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DOI:
https://doi.org/10.4067/S0719-06462010000300015Abstract
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.
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Published
2010-10-01
How to Cite
[1]
Y. Oka, “On the Weyl transform with symbol in the Gel‘fand-Shilov space and its dual space”, CUBO, vol. 12, no. 3, pp. 241–253, Oct. 2010.
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