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Boundary Nevanlinna—Pick Interpolation Problems for Generalized Schur Functions

Chapter
Part of the Operator Theory: Advances and Applications book series (OT, 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.

Keywords

Generalized Schur function boundary interpolation interpolation with inequalities missed interpolation values lost negative squares 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2005

Authors and Affiliations

  1. 1.Department of MathematicsThe College of William and MaryWilliamsburgUSA
  2. 2.Department of MathematicsUniversity of Massachusetts LowellLowellUSA

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