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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 368, Pages 171–180 (Mi znsl3511)  
This article is cited in 1 scientific paper (total in 1 paper)

On Haar expansion of Riemann–Liouville process in a critical case

M. A. Lifshits

Saint-Petersburg State University, Saint-Petersburg, Russia
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Abstract: We show that Haar-based series representation of the critical Riemann–Liouville process $R^\alpha$ with $\alpha=3/2$ is rearrangement non-optimal in the sense of convergence rate in $\mathbf C[0,1]$. Bibl. – 10 titles.
Key words and phrases: approximation of operators and random processes, Riemann–Liouville processes, series expansion, Haar base.
Received: 26.10.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 167, Issue 4, Pages 531–536
DOI: https://doi.org/10.1007/s10958-010-9940-y
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: M. A. Lifshits, “On Haar expansion of Riemann–Liouville process in a critical case”, Probability and statistics. Part 15, Zap. Nauchn. Sem. POMI, 368, POMI, St. Petersburg, 2009, 171–180; J. Math. Sci. (N. Y.), 167:4 (2010), 531–536
Citation in format AMSBIB
\Bibitem{Lif09}
\by M.~A.~Lifshits
\paper On Haar expansion of Riemann--Liouville process in a~critical case
\inbook Probability and statistics. Part~15
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 368
\pages 171--180
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3511}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 167
\issue 4
\pages 531--536
\crossref{https://doi.org/10.1007/s10958-010-9940-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77953916999}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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