Regularity of paths of stochastic measures
Pub. online: 26 November 2024
Type: Research Article
Open Access
Open Access
Received
10 September 2024
10 September 2024
Revised
15 November 2024
15 November 2024
Accepted
15 November 2024
15 November 2024
Published
26 November 2024
26 November 2024
Abstract
Random functions $\mu (x)$, generated by values of stochastic measures are considered. The Besov regularity of the continuous paths of $\mu (x)$, $x\in {[0,1]^{d}}$, is proved. Fourier series expansion of $\mu (x)$, $x\in [0,2\pi ]$, is obtained. These results are proved under weaker conditions than similar results in previous papers.
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