Geodesic
Nonsummability of almost everywhere orthorecursive expansions
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2024), pp. 36-39

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It was proved earlier that only Weyl multiplier $\lambda_k$ with the property $\sum\limits_{k=1}^\infty \frac1{\lambda_k}\infty$ provides the almost every where convergence of an orthorecurcive expansions of a function which does not converge to it in the norm. This result is extended to summation methods that sum a sequence being constant staring with some its element to its limit. 
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A. A. Kiriukhina; T. P. Lukashenko. Nonsummability of almost everywhere orthorecursive expansions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2024), pp. 36-39. http://geodesic.mathdoc.fr/item/VMUMM_2024_3_a4/