On a local Darlington synthesis problem

L. Golinskii

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arXiv · 1701.02210

On a local Darlington synthesis problem

L. Golinskii

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Abstract

The Darlington synthesis problem (in the scalar case) is the problem of embedding a given contractive analytic function to an inner $2\times 2$ matrix function as the entry. A fundamental result of Arov--Douglas--Helton relates this algebraic property to a pure analytic one known as a pseudocontinuation of bounded type. We suggest a local version of the Darlington synthesis problem and prove a local analog of the ADH theorem.

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L. Golinskii. 2017-01-09. On a local Darlington synthesis problem. https://arxiv.org/abs/1701.02210

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