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arXiv · 1009.4144

Nevanlinna-Pick interpolation on distinguished varieties in the bidisk

Michael T. Jury·Greg Knese·Scott McCullough
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Abstract

This article treats Nevanlinna-Pick interpolation in the setting of a special class of algebraic curves called distinguished varieties. An interpolation theorem, along with additional operator theoretic results, is given using a family of reproducing kernels naturally associated to the variety. The examples of the Neil parabola and doubly connected domains are discussed.

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Michael T. Jury, Greg Knese, Scott McCullough. 2012-02-01. Nevanlinna-Pick interpolation on distinguished varieties in the bidisk. https://doi.org/10.1016/j.jfa.2012.01.028

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