Kernel theorem for the space of Beurling - Komatsu tempered ultradistibutions

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dc.creatorLozanov-Crvenkovic, Z.
dc.creatorPerisic, D.
dc.date2007-02-05
dc.date.accessioned2026-07-07T07:44:48Z
dc.date.available2026-07-07T07:44:48Z
dc.descriptionWe give a simple proof of the Kernel theorem for the space of tempered ultradistributions of Beurling - Komatsu type, using the characterization of Fourier-Hermite coefficients of the elements of the space. We prove in details that the test space of tempered ultradistributions of Beurling - Komatsu type can be identified with the space of sequences of ultrapolynomal falloff and its dual space with the space of sequences of ultrapolynomial growth. As a consequence of the Kernel theorem we have that the Weyl transform can be extended on a space of tempered ultradistributions of Beurling - Komatsu type.
dc.descriptionaccepted for publication in Integral transforms and special functions
dc.identifierhttps://arxiv.org/abs/math/0702093
dc.identifierhttp://arxiv.org/abs/math/0702093
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123331
dc.subjectFunctional Analysis
dc.subjectPrimary 46F05; Secondary 46F12, 42A16, 35S
dc.titleKernel theorem for the space of Beurling - Komatsu tempered ultradistibutions
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