Reproducing kernel Hilbert spaces and Mercer theorem

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We 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.
30 pages, Latex2e

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Functional Analysis, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/74790

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504071
 http://arxiv.org/abs/math/0504071

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arXiv