{"title":"Regularity of paths of stochastic measures","authors":"Vadym Radchenko","doi":"arxiv-2409.06497","DOIUrl":null,"url":null,"abstract":"Random functions $\\mu(x)$, generated by values of stochastic measures are\nconsidered. The Besov regularity of the continuous paths of $\\mu(x)$,\n$x\\in[0,1]^d$ is proved. Fourier series expansion of $\\mu(x)$, $x\\in[0,2\\pi]$\nis obtained. These results are proved under weaker conditions than similar\nresults in previous papers.","PeriodicalId":501245,"journal":{"name":"arXiv - MATH - Probability","volume":"39 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Probability","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.06497","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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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