An interpolation problem for functions with values in a commutative ring

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

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.

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