Non-commutative stochastic distributions and applications to linear systems theory

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• 作者：Daniel Alpay ; ^{dany@math.bgu.ac.il} ; ^{daniel.alpay@gmail.com} ; Guy Salomon ^{guysal@math.bgu.ac.il}
• 关键词：primary ; 16S99 ; 60H40 ; 93B07 ; secondary ; 93A25
• 刊名：Stochastic Processes and their Applications
• 出版年：2013
• 出版时间：June, 2013
• 年：2013
• 卷：123
• 期：6
• 页码：2303-2322
• 全文大小：252 K

文摘

In this paper, we introduce a non-commutative space of stochastic distributions, which contains the non-commutative white noise space, and forms, together with a natural multiplication, a topological algebra. Special inequalities which hold in this space allow to characterize its invertible elements and to develop an appropriate framework of non-commutative stochastic linear systems.