Nevanlinna-Pick interpolation on distinguished varieties in the bidisk
Functional Analysis
2013-02-06 v2
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.
Keywords
Cite
@article{arxiv.1009.4144,
title = {Nevanlinna-Pick interpolation on distinguished varieties in the bidisk},
author = {Michael T. Jury and Greg Knese and Scott McCullough},
journal= {arXiv preprint arXiv:1009.4144},
year = {2013}
}
Comments
31 pages. The question left open at the end of version 1 has been answered in the affirmative; see Theorem 1.12 and Corollary 1.13 in version 2