ON ONE SPECTRUM OF UNIVERSALITY FOR WALSH SYSTEM

Authors

  • M.A. Nalbandyan Chair of Higher Mathematics, Faculty of Physics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2012.47.2.022

Keywords:

Walsh system, universal series, representation theorems, representations by subsystems

Abstract

In the present work it is shown that the set $D=\{\sum \limits^{\infty}_{i=o}\delta_i2^{N_i} : \delta_i=0,~1\},$ for every sequence $N_0 < N_1 <…< N_i <… $ of natural numbers can be changed into the set of the form $\Lambda = \{k + o(\omega(k)) : k \in D\},$ where $\omega(k)$ is an arbitrary, tending to infinity at $k\rightarrow\infty$ sequence, such that $\Lambda$ is the spectrum of universality for Walsh system. 

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Published

2012-05-10

How to Cite

Nalbandyan, M. (2012). ON ONE SPECTRUM OF UNIVERSALITY FOR WALSH SYSTEM. Proceedings of the YSU A: Physical and Mathematical Sciences, 46(2 (228), 22–28. https://doi.org/10.46991/PYSU:A/2012.47.2.022

Issue

Section

Mathematics