Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774956 | Journal of Mathematical Analysis and Applications | 2017 | 14 Pages |
Abstract
We prove a realization formula and a model formula for analytic functions with modulus bounded by 1 on the symmetrized bidiscG=def{(z+w,zw):|z|<1,|w|<1}. As an application we prove a Pick-type theorem giving a criterion for the existence of such a function satisfying a finite set of interpolation conditions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jim Agler, N.J. Young,