Abstract
Criteria for the representability of meromorphic second-order matrix functions J-expanding in the upper half-plane (de Branges matrices) as left, right, and two-sided Blaschke--Potapov products are stated. Results on the spectral structure of operators whose characteristic matrix functions are de Branges matrices are obtained.
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Gubreev, G.M., Tarasenko, A.A. Representability of de Branges Matrices as Blaschke--Potapov Products and Completeness of Some Families of Functions. Mathematical Notes 73, 796–801 (2003). https://doi.org/10.1023/A:1024045712587
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DOI: https://doi.org/10.1023/A:1024045712587