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arXiv · 1109.1857

Some remarks about interpolating sequences in reproducing kernel Hilbert spaces

Mrinal Raghupathi·Brett D. Wick
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Abstract

In this paper we study two separate problems on interpolation. We first give some new equivalences of Stout's Theorem on necessary and sufficient conditions for a sequence of points to be an interpolating sequence on a finite open Riemann surface. We next turn our attention to the question of interpolation for reproducing kernel Hilbert spaces on the polydisc and provide a collection of equivalent statements about when it is possible to interpolation in the Schur-Agler class of the associated reproducing kernel Hilbert space.

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Mrinal Raghupathi, Brett D. Wick. 2011-09-08. Some remarks about interpolating sequences in reproducing kernel Hilbert spaces. https://arxiv.org/abs/1109.1857

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