On the Bitangential Interpolation Problem for Contractive Valued Functions in the Polydisk

Authors

Daniel Alpay, Chapman UniversityFollow
J. A. Ball, Virginia Polytechnic Institute
V. Bolotnikov, Weizmann Institute of Science

Document Type

Article

Publication Date

2000

Abstract

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.

Comments

This article was originally published in Journal of Operator Theory, volume 44, in 2000.

Recommended Citation

D. Alpay, J. Ball and V. Bolotnikov, On the bitangential interpolation problem for contractive valued functions in the polydisk. Journal of Operator Theory., vol. 44 (2000), 277-301.

Peer Reviewed

1

Copyright

American Mathematical Society