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Augmented Schur Parameters for Generalized Nevanlinna Functions and Approximation

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 188))

Abstract

Schur parameters of a Schur function are a well-known concept in Schur analysis. Here we define the Schur transformation and the sequence of Schur parameters for a Nevanlinna function and a generalized Nevanlinna function. They are applied to approximate the Nevanlinna function or the generalized Nevanlinna. function by rational ones.

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© 2008 Birkhäuser Verlag Basel/Switzerland

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Alpay, D., Dijksma, A., Langer, H. (2008). Augmented Schur Parameters for Generalized Nevanlinna Functions and Approximation. In: Behrndt, J., Förster, KH., Langer, H., Trunk, C. (eds) Spectral Theory in Inner Product Spaces and Applications. Operator Theory: Advances and Applications, vol 188. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8911-6_1

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