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arXiv · 1610.01997

Complete Nevanlinna-Pick kernels

Jim Agler·John E. McCarthy
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Abstract

We give a new treatment of Quiggin's and McCullough's characterization of complete Nevanlinna-Pick kernels. We show that a kernel has the matrix-valued Nevanlinna-Pick property if and only if it has the vector-valued Nevanlinna-Pick property. We give a representation of all complete Nevanlinna-Pick kernels, and show that they are all restrictions of a universal complete Nevanlinna-Pick kernel.

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Jim Agler, John E. McCarthy. 2016-10-06. Complete Nevanlinna-Pick kernels. https://arxiv.org/abs/1610.01997

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