A Condition for Almost Everywhere Convergence of Orthorecursive Expansions / V. V. Galatenko, T. P. Lukashenko, and V. A. Sadovnichii. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2016. № 5. P. 20-25 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 191-195].

An almost everywhere convergence condition with the Weyl multiplier W(n)=\sqrt n is obtained for orthorecursive expansions that converge to the expanded function in L^2.

Key words: orthorecursive expansions, Weyl multiplier of almost everywhere convergence.