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Generalized Schur Functions and Augmented Schur Parameters

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Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 162))

Abstract

Every Schur function s(z) is the uniform limit of a sequence of finite Blaschke products on compact subsets of the open unit disk. The Blaschke products in the sequence are defined inductively via the Schur parameters of s(z). In this note we prove a similar result for generalized Schur functions.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV, Groningen, The Netherlands

    Aad Dijksma

  2. Department of Mathematics, Mbarara University of Science and Technology, P.O. Box 1410, Mbarara, Uganda

    Gerald Wanjala

Authors
  1. Aad Dijksma
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  2. Gerald Wanjala
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Technische Universität Berlin, D-10623, Berlin, Germany

    Karl-Heinz Förster  & Peter Jonas  & 

  2. Institut für Analysis und Scientific Computing, Technische Universität Wien, A-1040, Wien, Austria

    Heinz Langer

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© 2005 Birkhäuser Verlag Basel/Switzerland

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Dijksma, A., Wanjala, G. (2005). Generalized Schur Functions and Augmented Schur Parameters. In: Förster, KH., Jonas, P., Langer, H. (eds) Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems. Operator Theory: Advances and Applications, vol 162. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7453-5_8

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