Non-commutative stochastic distributions and applications to linear systems theory

Daniel Alpay, Guy Salomon

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)2303-2322
Number of pages20
JournalStochastic Processes and their Applications
Volume123
Issue number6
DOIs
StatePublished - 25 Mar 2013

Keywords

  • Convolution algebra
  • Non-commutative stochastic distributions
  • Non-commutative white noise space

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