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A Panorama of Modern Operator Theory and Related TopicsAn Interpolation Problem for Functions with Values in a Commutative Ring

A Panorama of Modern Operator Theory and Related Topics: An Interpolation Problem for Functions... [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.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Panorama of Modern Operator Theory and Related TopicsAn Interpolation Problem for Functions with Values in a Commutative Ring

Part of the Operator Theory: Advances and Applications Book Series (volume 218)
Editors: Dym, Harry; Kaashoek, Marinus A.; Lancaster, Peter; Langer, Heinz; Lerer, Leonid
Alpay, Daniel; Attia, Haim
Springer Journals — Jan 3, 2012
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17 pages

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Publisher
Springer Basel
Copyright
© Springer Basel AG 2012
ISBN
978-3-0348-0220-8
Pages
1 –17
DOI
10.1007/978-3-0348-0221-5_1
Publisher site
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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.]

Published: Jan 3, 2012

Keywords: White noise space; stochastic distributions; linear systems on rings.

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