vilenkin series
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Positivity ◽  
2018 ◽  
Vol 22 (3) ◽  
pp. 897-918
Author(s):  
M. G. Grigoryan ◽  
S. A. Sargsyan
Keyword(s):  


2017 ◽  
Vol 68 (1) ◽  
pp. 81-92
Author(s):  
Valentin A. Skvortsov ◽  
Francesco Tulone

Abstract We give a sufficient condition for coefficients of double series Σ Σn,m an,m χn,m with respect to Vilenkin system to be convergent to zero when n + m → ∞. This result can be applied to the problem of recovering coefficients of a Vilenkin series from its sum.





2004 ◽  
Vol 47 (3) ◽  
pp. 475-480
Author(s):  
W. R. Wade

AbstractD. J. Grubb [3] has shown that uniqueness holds, under a mild growth condition, for Vilenkin series which converge almost everywhere to zero. We show that, under even less restrictive growth conditions, one can replace the limit function 0 by an arbitrary f ∈ Lq, when q > 1.



2003 ◽  
Vol 131 (9) ◽  
pp. 2877-2881
Author(s):  
W. R. Wade


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