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arxiv: 0905.0356 · v1 · submitted 2009-05-04 · 🧮 math.FA

Agler interpolation families of kernels

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keywords citeinterpolationkernelspickabstractaglerambookapplied
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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}.

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