scholarly journals Littlewood–Paley–Rubio de Francia inequality for the Walsh system

2017 ◽  
Vol 28 (5) ◽  
pp. 719-726
Author(s):  
N. N. Osipov
Keyword(s):  
Walsh System ◽  
Rubio De Francia Inequality

A Sobolev Orthogonal System of Functions Generated by a Walsh System

2019 ◽  
Vol 105 (3-4) ◽  
pp. 543-549
Author(s):  
M. G. Magomed-Kasumov
Keyword(s):  
Walsh System ◽  
Orthogonal System

scholarly journals An orthonormal system on the construction of the generalized cantor set

1993 ◽  
Vol 16 (4) ◽  
pp. 737-748 ◽  
Author(s):  
Raafat Riad Rizkalla
Keyword(s):  
Orthonormal System ◽  
Walsh System ◽  
Cantor Set ◽  
Complete Orthonormal System

This paper presents a new complete orthonormal system of functions defined on the interval[0,1]and whose supports shrink to nothing. This system related to the construction of the Cantor ternary set. We defined the canonicalmap ξand proved the equivalence between this system and the Walsh system. The generalized Cantor set with any dissection ratio is established and the constructed system is defined in the general case.

Lacunary subsystems of the Walsh system of functions

1979 ◽  
Vol 20 (1) ◽  
pp. 79-86
Author(s):  
I. M. Mikheev
Keyword(s):  
Walsh System

Series with monotone coefficients in the Walsh system

1967 ◽  
Vol 2 (3) ◽  
pp. 653-658
Author(s):  
A. I. Rubinstein
Keyword(s):  
Walsh System ◽  
Monotone Coefficients

On the (C, α)-means with respect to the Walsh system

2014 ◽  
Vol 40 (3) ◽  
pp. 161-174 ◽  
Author(s):  
I. Blahota ◽  
G. Tephnadze
Keyword(s):  
Walsh System
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