Agler interpolation families of kernels

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An abstract Pick interpolation theorem for a family of positive semi-definite kernels on a set $X$ is formulated. The result complements those in \cite{Ag} and \cite{AMbook} and will subsequently be applied to Pick interpolation on distinguished varieties \cite{JKM}.
14 pages

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Functional Analysis, 47A57 (primary), 47A20, 47L30 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/229277

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0905.0356
 http://arxiv.org/abs/0905.0356

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arXiv