Reproducing kernel Hilbert spaces and Mercer theorem

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dc.creatorCarmeli, Claudio
dc.creatorDe Vito, Ernesto
dc.creatorToigo, Alessandro
dc.date2005-04-05
dc.date.accessioned2026-07-07T05:18:48Z
dc.date.available2026-07-07T05:18:48Z
dc.descriptionWe characterize the reproducing kernel Hilbert spaces whose elements are $p$-integrable functions in terms of the boundedness of the integral operator whose kernel is the reproducing kernel. Moreover, for $p=2$ we show that the spectral decomposition of this integral operator gives a complete description of the reproducing kernel.
dc.description30 pages, Latex2e
dc.identifierhttps://arxiv.org/abs/math/0504071
dc.identifierhttp://arxiv.org/abs/math/0504071
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74790
dc.subjectFunctional Analysis
dc.subjectMathematical Physics
dc.titleReproducing kernel Hilbert spaces and Mercer theorem
dc.typetext

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