JournalszaaVol. 14, No. 2pp. 225–233

Loewner Interpolation in Matrix Hardy Classes

  • Daniel Alpay

    Ben Gurion University of the Negev, Beer Sheva, Israel
  • J. Leblond

    INRIA, Sophia Antipolis, France
Loewner Interpolation in Matrix Hardy Classes cover
Download PDF

Abstract

We study a Loewner type interpolation problem in the framework of matrix-valued H2\mathbb H_2 functions. We establish a necessary and sufficient condition for a matrix-valued function given on an arc of circle to be the trace of such an H2\mathbb H_2 function subject to some constraint.

Cite this article

Daniel Alpay, J. Leblond, Loewner Interpolation in Matrix Hardy Classes. Z. Anal. Anwend. 14 (1995), no. 2, pp. 225–233

DOI 10.4171/ZAA/672