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
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Abstract

We study a Loewner type interpolation problem in the framework of matrix-valued 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 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