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. 
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     author = {M. A. Nalbandyan},
     title = {On  one  spectrum  of  universality  for  {Walsh}  system},
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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/