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arXiv · 2601.14397

Symmetric Schur-class functions on the bidisk and Schur-class functions on the symmetrized bidisk

Radomił Baran·Hugo J. Woerdeman
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Abstract

We present some thoughts on the relation between symmetric Schur-class functions on the bidisk and Schur-class functions on the symmetrized bidisk. Among other things, use of this relation leads to a finite dimensional realization result for rational matrix functions in the Schur-class on the symmetrized bidisk and also to a determinantal representation result for polynomials without zeros on the symmetrized bidisk.

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Radomił Baran, Hugo J. Woerdeman. 2026-01-20. Symmetric Schur-class functions on the bidisk and Schur-class functions on the symmetrized bidisk. https://arxiv.org/abs/2601.14397

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