TY - JOUR
T1 - Nevanlinna-Pick interpolation on distinguished varieties in the bidisk
AU - Jury, Michael T.
AU - Knese, Greg
AU - McCullough, Scott
PY - 2012/5/1
Y1 - 2012/5/1
N2 - 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.
AB - 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.
KW - Bidisk
KW - Distinguished varieties
KW - Nevanlinna-Pick interpolation
UR - https://www.scopus.com/pages/publications/84857920909
U2 - 10.1016/j.jfa.2012.01.028
DO - 10.1016/j.jfa.2012.01.028
M3 - Article
AN - SCOPUS:84857920909
SN - 0022-1236
VL - 262
SP - 3812
EP - 3838
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 9
ER -