Pick Interpolation for free holomorphic functions
Jim Agler, John E. McCarthy
TL;DR
This paper establishes an interpolation theorem for bounded free holomorphic functions, advancing the understanding of their structure and potential applications in complex analysis and operator theory.
Contribution
It introduces a new interpolation theorem specifically for bounded free holomorphic functions, filling a gap in the existing mathematical literature.
Findings
Proved an interpolation theorem for bounded free holomorphic functions
Extended classical interpolation results to the free holomorphic setting
Provided tools for further research in free analysis and operator theory
Abstract
We prove an interpolation theorem for bounded free holomorphic functions.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Mathematical functions and polynomials