English

An interpolation problem for functions with values in a commutative ring

Functional Analysis 2011-04-11 v1

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.

Keywords

Cite

@article{arxiv.1104.1603,
  title  = {An interpolation problem for functions with values in a commutative ring},
  author = {Daniel Alpay and Haim Attia},
  journal= {arXiv preprint arXiv:1104.1603},
  year   = {2011}
}
R2 v1 2026-06-21T17:51:26.565Z