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

Contents Full-Text PDF