We use a system of operator-valued orthogonal polynomials to construct analogs of the de Branges spaces and establish their relationship with the theory of nonself-adjoint operators.
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Delft Univ Technol, DIAM, EWI, NL-2600 GA Delft, NetherlandsDelft Univ Technol, DIAM, EWI, NL-2600 GA Delft, Netherlands
Groenevelt, Wolter
Ismail, Mourad E. H.
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Univ Cent Florida, Dept Math, Orlando, FL 32816 USA
King Saud Univ, Riyadh, Saudi ArabiaDelft Univ Technol, DIAM, EWI, NL-2600 GA Delft, Netherlands
Ismail, Mourad E. H.
Koelink, Erik
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Radboud Univ Nijmegen, IMAPP, FNWI, NL-6525 AJ Nijmegen, NetherlandsDelft Univ Technol, DIAM, EWI, NL-2600 GA Delft, Netherlands