Schur analysis and discrete analytic functions: rational functions and co-isometric realizations

DOI10.1016/j.laa.2023.06.021zbMath1521.30057arXiv2111.04229OpenAlexW4382406465MaRDI QIDQ6168551

Dan Volok, Daniel Alpay

Publication date: 9 August 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.04229

zbMATH Keywords

rational functiondiscrete analytic functioncoisometric realization

Mathematics Subject Classification ID

Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Discrete analytic functions (30G25)

Cites Work

• Slice hyperholomorphic Schur analysis
• I. Schur methods in operator theory and signal processing
• Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
• On discrete analytic functions: products, rational functions and reproducing kernels
• A note on a discrete analytic function
• Discrete analytic Schur functions
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