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Boundary Nevanlinna—Pick Interpolation Problems for Generalized Schur Functions

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Interpolation, Schur Functions and Moment Problems

Part of the book series: Operator Theory: Advances and Applications ((LOLS,volume 165))

Abstract

Three boundary multipoint Nevanlinna-Pick interpolation problems are formulated for generalized Schur functions. For each problem, the set of all solutions is parametrized in terms of a linear fractional transformation with a Schur class parameter.

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Author information

Authors and Affiliations

  1. Department of Mathematics, The College of William and Mary, Williamsburg, VA, 23187-8795, USA

    Vladimir Bolotnikov

  2. Department of Mathematics, University of Massachusetts Lowell, Lowell, MA, 01854, USA

    Alexander Kheifets

Authors
  1. Vladimir Bolotnikov
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  2. Alexander Kheifets
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Ben-Gurion University of the Negev, P.O. Box 653, Beer Sheva, 84105, Israel

    Daniel Alpay

  2. School of Mathematical Sciences, Raymond and Beverly Sackler, Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, 69978, Israel

    Israel Gohberg

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© 2005 Birkhäuser Verlag Basel/Switzerland

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Bolotnikov, V., Kheifets, A. (2005). Boundary Nevanlinna—Pick Interpolation Problems for Generalized Schur Functions. In: Alpay, D., Gohberg, I. (eds) Interpolation, Schur Functions and Moment Problems. Operator Theory: Advances and Applications, vol 165. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7547-7_3

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