A new construction of random Colombeau distributions

DOI10.1016/S0167-7152(01)00101-8zbMath1012.46047WikidataQ127704189 ScholiaQ127704189MaRDI QIDQ5953982

Uluğ Çapar, Hüseyin Aktuğlu

Publication date: 3 July 2002

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

white noiseColombeau generalized functionsrandom distribution

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Generalized stochastic processes (60G20) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (1)

Imbedding of infinite dimensional distributions into simplified Colombeau type algebras

Cites Work

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• A nonlinear theory of generalized functions.
• A contribution to the theory of generalized functions
• Stochastic integration on generalized function spaces and its applications

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