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Journal article
Symmetric Schur-Class Functions on the Bidisk and Schur-Class Functions on the Symmetrized Bidisk
Integral Equations and Operator Theory, v 98(4), 46
23 Sep 2026
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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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Details
- Title
- Symmetric Schur-Class Functions on the Bidisk and Schur-Class Functions on the Symmetrized Bidisk
- Creators
- Radomił Baran - Jagiellonian UniversityHugo J Woerdeman (Corresponding Author) - Drexel University, Mathematics
- Publication Details
- Integral Equations and Operator Theory, v 98(4), 46
- Publisher
- Springer Nature
- Number of pages
- 12
- Grant note
- Division of Mathematical Sciences: DMS 2348720.
R. Baran gratefully acknowledges support from the ID.UJ "Initiative of Excellence - Research University". We also thank the referees for their careful reading of the manuscript.
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001882890800001
- Other Identifier
- 991022209143704721