Geodesic
A condition for almost everywhere convergence of orthorecursive expansions
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2016), pp. 20-25

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An almost everywhere convergence condition with Weyl multiplier $W(n)=\sqrt n$ is obtained for orthorecursive expansions that converge to the expanded fuinction in $L^2$. 
@article{VMUMM_2016_5_a2,
     author = {V. V. Galatenko and T. P. Lukashenko and V. A. Sadovnichii},
     title = {A condition for almost everywhere convergence of orthorecursive expansions},
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     pages = {20--25},
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     number = {5},
     year = {2016},
     language = {ru},
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}
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V. V. Galatenko; T. P. Lukashenko; V. A. Sadovnichii. A condition for almost everywhere convergence of orthorecursive expansions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2016), pp. 20-25. http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a2/