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math.AP2019
On the divergence of subsequences of partial Walsh-Fourier sums
Ushangi Goginava, Giorgi Oniani
A class of increasing sequences of natural numbers is found for which there exists a function such that the subsequence of partial Walsh-Fourier sums $(S_{n_k…
math.AP2019
Conjugate Transforms on Dyadic Group
Ushangi Goginava, Aleksandre Saatashvili
In this paper we study the properties of the Lebesgue constant of the conjugate transforms. For conjugate Fejér means we will find necessary and sufficient condition on for whi…