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Functions with universal Fourier-Walsh series

2020 ◽  
Vol 211 (6) ◽  
pp. 850-874
Author(s):  
M. G. Grigoryan
Keyword(s):  
Walsh Series

ON THE UNIFORM CONVERGENCE OF DOUBLE FOURIER–WALSH SERIES

2020 ◽  
Vol 54 (1 (251)) ◽  
pp. 20-28
Author(s):  
M.G. Grigoryan ◽  
A.L. Ghazaryan ◽  
G.G. Ghazaryan
Keyword(s):  
Uniform Convergence ◽  
Walsh System ◽  
Universal Function ◽  
Universal Property ◽  
Walsh Series

In this paper a universal function \(U \in L^1 [0,1)^2\), which with respect to the double Walsh system has universal property in the sense of modification, is constructed.

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