Affordable Access

Basic Boundary Interpolation for Generalized Schur Functions and Factorization of Rational J-unitary Matrix Functions

Publication Date
  • Computer Science


We define and solve a boundary interpolation problem for generalized Schur functions s(z) on the open unit disk D which have preassigned asymptotics when z from D tends nontangentially to a boundary point z1 ∈ T. The solutions are characterized via a fractional linear parametrization formula. We also prove that a rational J-unitary 2 × 2-matrix function whose only pole is at z1 has a unique minimal factorization into elementary factors and we classify these factors. The parametrization formula is then used in an algorithm for obtaining this factorization. In the proofs we use reproducing kernel space methods.

There are no comments yet on this publication. Be the first to share your thoughts.