Lifting to the spectral ball with interpolation
Rafael B. Andrist
TL;DR
This paper establishes conditions for solving the spectral Nevanlinna--Pick lifting problem by reducing it to a jet interpolation problem in the symmetrized polydisc, advancing the understanding of spectral interpolation issues.
Contribution
It provides necessary and sufficient conditions for spectral Nevanlinna--Pick lifting, linking it to jet interpolation in the symmetrized polydisc, which is a novel approach.
Findings
Conditions for solving the spectral Nevanlinna--Pick lifting problem
Reduction to jet interpolation problem in the symmetrized polydisc
Enhanced understanding of spectral interpolation problems
Abstract
We give necessary and sufficient conditions for solving the spectral Nevanlinna--Pick lifting problem. This reduces the spectral Nevanlinna--Pick problem to a jet interpolation problem into the symmetrized polydisc.
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