An interpolation problem for functions with values in a commutative ring

Daniel Alpay; Haim Attia

doi:10.1007/978-3-0348-0221-5

An interpolation problem for functions with values in a commutative ring

Daniel Alpay, Haim Attia

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

7 Scopus citations

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.

Original language	English
Title of host publication	A Panorama of Modern Operator Theory and Related Topics
Subtitle of host publication	The Israel Gohberg Memorial Volume
Publisher	Springer Basel
Pages	1-17
Number of pages	17
ISBN (Electronic)	9783034802215
ISBN (Print)	9783034802208
DOIs	https://doi.org/10.1007/978-3-0348-0221-5
State	Published - 1 Jan 2012

Keywords

Linear systems on rings
Stochastic distributions
White noise space

ASJC Scopus subject areas

Mathematics (all)

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10.1007/978-3-0348-0221-5

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AB - 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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ER -

An interpolation problem for functions with values in a commutative ring

Abstract

Keywords

ASJC Scopus subject areas

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