On the Class RSI of J-Contractive Functions Intertwining Solutions of Linear Differential Equations

Authors

Daniel Alpay, Chapman UniversityFollow
Andrey Melnikov, Ben Gurion University of the Negev
Victor Vinnikov, Ben Gurion University of the Negev

Document Type

Article

Publication Date

2012

Abstract

In this paper we extend and solve in the class of functions RSI mentioned in the title, a number of problems originally set for the class RS of rational functions contractive in the open right-half plane, and unitary on the imaginary line with respect to some preassigned self-adjoint matrix. The problems we consider include the Schur algorithm, the partial realization problem and the Nevanlinna-Pick interpolation problem. The arguments rely on the one-to-one correspondence between elements in a given subclass of RSI and elements in RS. Another important tool in the arguments is a new result pertaining to the classical tangential Schur algorithm.

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Integral Equations and Operator Theory, volume 74, in 2012 following peer review. The final publication is available at Springer via DOI: 10.1007/s00020-012-2002-8

Recommended Citation

D. Alpay, A. Melnikov, and V. Vinnikov. On the class SI of J-contractive functions intertwining solutions of linear differential equations. Integral Equations and Operator Theory, vol. 74 (2012), no. 3, pp. 313-344.

Peer Reviewed

1

Copyright

Springer