Nevanlinna–Pick interpolation on distinguished varieties in the bidisk

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...

Full description

Saved in:
Bibliographic Details
Published inJournal of functional analysis Vol. 262; no. 9; pp. 3812 - 3838
Main Authors Jury, Michael T., Knese, Greg, McCullough, Scott
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.05.2012
Subjects
Bidisk
Distinguished varieties
Nevanlinna–Pick interpolation
Bidisk
Distinguished varieties
Nevanlinna–Pick interpolation
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2012.01.028