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On the Wiener integral with respect to a sub-fractional Brownian motion on an interval
Authors:Constantin Tudor
Institution:University of Bucharest, Faculty of Mathematics and Informatics, Str. Academiei 14, 010014 Bucharest, Romania
Abstract:The domain View the MathML source of the Wiener integral with respect to a sub-fractional Brownian motion View the MathML source, View the MathML source, k≠0, is characterized. The set View the MathML source is a Hilbert space which contains the class of elementary functions as a dense subset. If View the MathML source, any element of View the MathML source is a function and if View the MathML source, the domain View the MathML source is a space of distributions.
Keywords:Brownian motion  Fractional Brownian motion  Sub-fractional Brownian motion  Wiener integral  Tempered distribution
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