Abstract:
In this paper, we obtain coefficient conditions that guarantee the equiconvergence and Cesaro equisummability almost everywhere of a multiple orthogonal series summed over two different systems of nested sets covering an integer lattice of the arithmetic space.
Keywords:multiple orthogonal series, partial sum, Cesaro mean, convergence almost everywhere, summability almost everywhere, star body, homothety, multiple trigonomrtric series.
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