TL;DR
This paper extends Carleson's interpolation theorem to sequences of matrices, establishing necessary and sufficient separation conditions for matrices to be interpolating, thus broadening the theorem's applicability to matrix-valued functions.
Contribution
It introduces a new matrix interpolation criterion, generalizing classical scalar results to matrix sequences with explicit separation conditions.
Findings
Derived necessary and sufficient conditions for matrix interpolation.
Generalized classical scalar interpolation results to matrix sequences.
Provided a framework for matrix interpolation in complex analysis.
Abstract
We extend Carleson's interpolation Theorem to sequences of matrices, by giving necessary and sufficient separation conditions for a sequence of matrices to be interpolating.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Matrix Theory and Algorithms