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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2009 Volume 368, Pages 171–180 (Mi znsl3511)

This article is cited in 1 paper

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

M. A. Lifshits

Saint-Petersburg State University, Saint-Petersburg, Russia

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.

UDC: 519.21

Received: 26.10.2009


 English version:
Journal of Mathematical Sciences (New York), 2010, 167:4, 531–536

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