An Interpolation Problem for Functions With Values in a Commutative Ring

Authors

Daniel Alpay, Chapman UniversityFollow
Haim Attia, Sami Shamoon College of Engineering

Document Type

Article

Publication Date

2012

Abstract

It was recently shown that the theory of linear stochastic systems can be viewed as a particular case of the theory of linear systems on a certain commutative ring of power series in a countable number of variables. In the present work we study an interpolation problem in this setting. A key tool is the principle of permanence of algebraic identities.

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Operator Theory: Advances and Applications, volume 218, in 2012 following peer review. The final publication is available at Springer via DOI: 10.1007/978-3-0348-0221-5_1

Recommended Citation

D. Alpay and H. Attia. An interpolation problem for functions with values in a commutative ring. Operator Theory: Advances and Applications, Vol. 218 (2012), pp. 1-17.

Peer Reviewed

1

Copyright

Springer