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Zeitschrift für Analysis und ihre Anwendungen


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Volume 14, Issue 2, 1995, pp. 225–233
DOI: 10.4171/ZAA/672

Published online: 1995-06-30

Loewner Interpolation in Matrix Hardy Classes

Daniel Alpay[1] and J. Leblond[2]

(1) Ben Gurion University of the Negev, Beer Sheva, Israel
(2) INRIA, Sophia Antipolis, France

We study a Loewner type interpolation problem in the framework of matrix-valued $\mathbb H_2$ 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 $\mathbb H_2$ function subject to some constraint.

Keywords: Loewner interpolation, reproducing kernel spaces, Hardy spaces

Alpay Daniel, Leblond J.: Loewner Interpolation in Matrix Hardy Classes. Z. Anal. Anwend. 14 (1995), 225-233. doi: 10.4171/ZAA/672