Interpolating sequences on the bidisk
Jim Agler, John E. McCarthy
TL;DR
This paper characterizes the conditions under which sequences can be interpolated by bounded analytic functions on the bidisk, advancing understanding of multivariable complex analysis.
Contribution
It provides a new characterization of interpolating sequences specifically for bounded analytic functions on the bidisk, filling a gap in multivariable interpolation theory.
Findings
Provides a necessary and sufficient condition for interpolation on the bidisk
Extends classical one-variable interpolation results to two variables
Offers tools for analyzing bounded analytic functions in multiple variables
Abstract
We give a characterization of interpolating sequences for bounded analytic functions on the bidisk.
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