Abstract
A class of increasing sequences of natural numbers (nk) is found for which there exists a function f∈L[0,1) such that the subsequence of partial Walsh-Fourier sums (Snk(f)) diverges everywhere. A condition for the growth order of a function φ:[0,∞)→[0,∞) is given fulfillment of which implies an existence of above type function f in the class φ(L)[0,1).
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