Norm convergence of double Fourier series on unbounded Vilenkin groups
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DOI: 10.1007/s10474-017-0703-9
Abstract: We study approximation by rectangular partial sums of double Fourier series on unbounded Vilenkin groups in the spaces C and L1. From these results we obtain criterions of the uniform convergence and L-convergence of double… read more here.
Keywords: unbounded vilenkin; series; double fourier; fourier series ... See more keywords
Subsequences of triangular partial sums of double fourier series on unbounded Vilenkin groups
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DOI: 10.2298/fil1811769g
Abstract: In 1987 Harris proved-among others-that for each 1 ≤ p < 2 there exists a two-dimensional function f ∈ Lp such that its triangular partial sums S2A f of Walsh-Fourier series does not converge almost… read more here.
Keywords: unbounded vilenkin; subsequences triangular; triangular partial; vilenkin groups ... See more keywords