Abstract. In this paper we prove that there exists a continuous function on $[0,1)^2$, with a certain smoothness, whose double Fourier--Walsh--Paley series diverges by rectangles on a set of positive measure.
DOI: 10.14232/actasm-019-319-0
AMS Subject Classification
(1991): 42C10
Keyword(s):
Walsh--Paley,
double Fourier series,
divergence a.e
received 9.6.2019, revised 8.1.2020, accepted 14.1.2020. (Registered under 69/2019.)
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