Geodesic
On one spectrum of universality for Walsh system
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2012), pp. 22-28

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In the present work it is shown that the set $D=\left\{\displaystyle\sum_{i=0}^{\infty}\delta_i2^{N_i} :\delta_i=0,1\right\}$ for every sequence $N_0$ of natural numbers can be changed into the set of the form $\Lambda=\left\{k+o(\omega(k)):k\in D\right\}$ , where $\omega(k)$ is an arbitrary, tending to infinity at $k\to+\infty$ sequence, such that $\Lambda$ is the spectrum of universality for Walsh system.
Keywords: Walsh system, universal series, representation theorems, representations by subsystems. 
M. A. Nalbandyan. On one spectrum of universality for Walsh system. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2012), pp. 22-28. http://geodesic.mathdoc.fr/item/UZERU_2012_2_a3/
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