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Boundary Nevanlinna-Pick interpolation via reduction and augmentation

We give an elementary proof of Sarason's solvability criterion for the Nevanlinna-Pick problem with boundary interpolation nodes and boundary target values. We also give a concrete parametrization of all solutions of such a problem. The proofs are based on a reduction method due to Julia and Nevanlinna. Reduction of functions corresponds to Schur complementation of the corresponding Pick matrices.

preprint2010arXivOpen access
Jim AglerN. J. Young
math.CV
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Open access2 authors1 topic
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Jim AglerN. J. Young

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