A Nuclear Space of Distributions on a Space of Incomplete Continuous Functions

DOI10.1142/S0219025798000193zbMath0928.60031MaRDI QIDQ4236736

Jaime Aguilar-Ortiz, Louis G. Gorostiza

Publication date: 2 January 2000

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

zbMATH Keywords

Wiener spacefluctuation limitnuclear Gelfand tripletime-localizationincomplete function

Mathematics Subject Classification ID

Generalized stochastic processes (60G20) Measures and integration on abstract linear spaces (46G12) Applications of functional analysis in probability theory and statistics (46N30)

Related Items (1)

Martin boundary of random walks in convex cones

Cites Work

• Markov properties of the fluctuation limit of a particle system with death
• The spaces of trial and generalized functions of infinite number of variables
• Nuclear Gelfand triples on Wiener space and applications to trajectorial fluctuations of particle systems
• Time-localization of random distributions on Wiener space
• Multiple Wiener-Ito integrals possessing a continuous extension
• On the sample continuity of S'-processes
• Generalized multiple stochastic integrals and the representation of wiener functionals
• A remark on the space of testing random variables in the white noise calculus
• Limit theorems for the motion of a Poisson system of independent Markovian particles with high density
• Large deviations from the mckean-vlasov limit for weakly interacting diffusions

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