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

Radomił Baran; Hugo J Woerdeman

doi:10.48550/arxiv.2601.14397

Back

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

Preprint

Open access

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

Radomił Baran and Hugo J Woerdeman

20 Jan 2026

DOI: https://doi.org/10.48550/arxiv.2601.14397

Files and links (1)

url

https://doi.org/10.48550/arXiv.2601.14397View

Preprint (Author's original)arXiv.org - Non-exclusive license to distribute, Open

Abstract

Mathematics - Complex Variables

Mathematics - Functional Analysis

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.

Metrics

1 Record Views

Details

Title: Symmetric Schur-class functions on the bidisk and Schur-class functions on the symmetrized bidisk
Creators: Radomił Baran
Hugo J Woerdeman
Grants: Advances in rational operations in free analysis, 2348720, U.S. National Science Foundation (United States, Alexandria) - NSF
Resource Type: Preprint
Language: English
Academic Unit: Mathematics
Other Identifier: 991022155286404721

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

Files and links (1)

Abstract

Metrics

Details

Drexel University Social media