Some remarks about interpolating sequences in reproducing kernel Hilbert spaces
Functional Analysis
2016-02-08 v3
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.
Cite
@article{arxiv.1109.1857,
title = {Some remarks about interpolating sequences in reproducing kernel Hilbert spaces},
author = {Mrinal Raghupathi and Brett D. Wick},
journal= {arXiv preprint arXiv:1109.1857},
year = {2016}
}
Comments
13 pages, no figures; correction to an argument in Theorem 1.2/2.5; minor correction to theorem 2.8 and typos. Accepted to Houston J. Math