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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2013, Issue 3, Pages 23–28
(Mi uzeru78)
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This article is cited in 2 scientific papers (total in 2 papers)
Mathematics
On a property of general Haar system
A. Kh. Kobelyan Physical and Mathematical Faculty of Yerevan State University
Abstract:
In the paper we prove that for some type of general Haar systems (particularly for classical Haar system) and for any $\varepsilon>0$ there exists a set $E\subset(0,1)^2 , | E |>1-\varepsilon$, such that for every $f\in L^1(0,1)^2$ one can find a function $g\in L^1(0,1)^2$, which coincides with $f$ on $E$ and Fourier – Haar coefficients $\{c_{(i,k)}(g)\}_{i,k=1}^{\infty}$ are monotonic over all rays.
Keywords:
general Haar system, convergence, Fourier–Haar coefficients.
Received: 23.04.2013 Accepted: 18.09.2013
Citation:
A. Kh. Kobelyan, “On a property of general Haar system”, Proceedings of the YSU, Physical and Mathematical Sciences, 2013, no. 3, 23–28
Linking options:
https://www.mathnet.ru/eng/uzeru78 https://www.mathnet.ru/eng/uzeru/y2013/i3/p23
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Abstract page: | 90 | Full-text PDF : | 27 | References: | 25 | First page: | 1 |
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