Generalized Integral Operators and Schwartz Kernel Theorem

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dc.creatorDelcroix, A.
dc.date2004-03-18
dc.date.accessioned2026-07-07T08:06:14Z
dc.date.available2026-07-07T08:06:14Z
dc.descriptionIn connection with the classical Schwartz kernel theorem, we show that in the framework of Colombeau generalized functions a large class of linear mappings admit integral kernels. To do this, we need to introduce news spaces of generalized functions with slow growth and the corresponding adapted linear mappings. Finally, we show that in some sense Schwartz' result is contained in our main theorem.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0403312
dc.identifierhttp://arxiv.org/abs/math/0403312
dc.identifierJ. Math. Anal. Appl. 306/2: 481-501, 2005
dc.identifierdoi:10.1016/j.jmaa.2005.01.006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130538
dc.subjectFunctional Analysis
dc.subject45P05, 46F05, 46F30, 47G10
dc.titleGeneralized Integral Operators and Schwartz Kernel Theorem
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