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.
|Title of host publication||A Panorama of Modern Operator Theory and Related Topics|
|Subtitle of host publication||The Israel Gohberg Memorial Volume|
|Number of pages||17|
|State||Published - 1 Jan 2012|
- Linear systems on rings
- Stochastic distributions
- White noise space