Title
On the Class RSI of J-Contractive Functions Intertwining Solutions of Linear Differential Equations
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.
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
Included in
Algebra Commons, Discrete Mathematics and Combinatorics Commons, Other Mathematics Commons
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