A new construction of random Colombeau distributions
In this paper a generalized random process is modeled through the randomization of a bilinear form between the space of test functions and the Colombeau generalized functions. This results in a theory akin to Gelfand-Vilankin's random Schwartz distributions. An extension theorem in Bochner-Badrikian style is proved under some continuity assumptions. An important application is a natural representation of nonlinear functionals of white noise.
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Volume (Year): 54 (2001)
Issue (Month): 3 (October)
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