Regularity of paths of stochastic measures

Abstract

Random functions μ(x), generated by values of stochastic measures are considered. The Besov regularity of the continuous paths of μ(x), x∈[0,1]d is proved. Fourier series expansion of μ(x), x∈[0,2π] is obtained. These results are proved under weaker conditions than similar results in previous papers.

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