Journal of Operator Theory

Volume 44, Issue 2, Fall 2000 pp. 277-301.

On the bitangential interpolation problem for contractive valued functions in the polydisk

Authors: D. Alpay

$1$ , J.A. Ball

$2$ , and V. Bolotnikov

$3$
Author institution:

$1$ Department of Mathematics, Ben--Gurion University of the Negev, Beer-Sheva 84105, Israel

$2$ Department of Mathematics, Virginia Polytechnic Institute, Blacksburg, VA 24061--0123, USA

$3$ Department of Theoretical Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel

Summary: We solve the bitangential interpolation problem with a finite number of interpolating points for the multivariable analogue of the Schur class introduced by J. Agler. The description of all solutions is parametrized by a Redheffer transform whose entries are given explicitly in terms of the interpolation data.

Keywords: Multidimensional unitary system, transfer or characteristic function, contour integral interpolation conditions, linear fractional parametrization

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