Geodesic
Equiconvergence and equisummability almost everywhere of a multiple orthogonal series for various types of convergence
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2, Tome 207 (2022), pp. 61-67.

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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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B. V. Konoplev. Equiconvergence and equisummability almost everywhere of a multiple orthogonal series for various types of convergence. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2, Tome 207 (2022), pp. 61-67. http://geodesic.mathdoc.fr/item/INTO_2022_207_a6/

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