Show simple item record

On the Weyl transform with symbol in the Gel’fand-Shilov space and its dual space

dc.creatorOka, Yasuyuki
dc.date2010-10-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1402
dc.identifier10.4067/S0719-06462010000300015
dc.descriptionIn 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.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1402/1276
dc.sourceCUBO, A Mathematical Journal; Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal; 241–253en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 12 Núm. 3 (2010): CUBO, A Mathematical Journal; 241–253es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectWeyl transformen-US
dc.subjectGel’fand-Shilov spaceen-US
dc.subjectFourier-Wigner transformen-US
dc.subjecttrace class operatoren-US
dc.subjectSchwartz’s kernel theoremen-US
dc.titleOn the Weyl transform with symbol in the Gel’fand-Shilov space and its dual spaceen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


This item appears in the following Collection(s)

Show simple item record