NEW TOPOLOGICAL ℂ-ALGEBRAS WITH APPLICATIONS IN LINEAR SYSTEMS THEORY

DOI10.1142/S0219025712500117zbMath1254.46002arXiv1106.5746OpenAlexW2963555206MaRDI QIDQ2909260

Guy Salomon, Daniel Alpay

Publication date: 30 August 2012

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.5746

zbMATH Keywords

convolutionWick producttopological ringsKondratiev spacesnuclear spacesSchwartz space of tempered distributionswhite noise spacelinear systems on commutative ringsVåge inequality

Mathematics Subject Classification ID

White noise theory (60H40) Stochastic systems in control theory (general) (93E03) General theory of topological algebras (46H05) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Topological rings and modules (13J99)

Related Items (4)

Generalized white noise analysis and topological algebras ⋮ On free stochastic processes and their derivatives ⋮ Generalized Grassmann algebras and applications to stochastic processes ⋮ On a class of quaternionic positive definite functions and their derivatives

Cites Work

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• Linear stochastic systems: a white noise approach
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• A General Existence And Uniqueness Theorem For Wick-Sdes In
• Linear Stochastic State Space Theory in the White Noise Space Setting
• Hyperfunctions on Hypo-Analytic Manifolds (AM-136)

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