On the Weyl Transform with Symbol in the Gel'fand-Shilov Space and its Dual Space

dc.creatorOKA,YASUYUKI
dc.date2010-01-01
dc.date.accessioned2017-03-07T16:36:10Z
dc.date.available2017-03-07T16:36:10Z
dc.identifierhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300015
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/404410
dc.descriptionIn this paper, we claim two subjects. One is that the Weyl transform with symbol in the Gel'fand-Shilov space l r r , r ≥ 1/2 , is a trace class operator. The other one is that the Weyl transform with symbol in the generalized function (l r r )1, r ≥ 1/2 , is a continuous linear transformation from the Gel'fand-Shilov space l r r to (l r r )¹. As r > 1, Z. Lozanov- Crvenkovic and D. Peri ic have proved in [6] this result. Our second claim includes their result.
dc.formattext/html
dc.languageen
dc.publisherUniversidad de La Frontera. Departamento de Matemática y Estadística
dc.publisherUniversidade Federal de Pernambuco. Departamento de Matemática
dc.sourceCubo (Temuco) v.12 n.3 2010
dc.subjectWeyl transform
dc.subjectGel'fand-Shilov space
dc.subjectFourier-Wigner transform
dc.subjecttrace class operator
dc.subjectSchwartz's kernel theorem
dc.titleOn the Weyl Transform with Symbol in the Gel'fand-Shilov Space and its Dual Space
dc.typeArtículos de revistas


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