Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 5, Pages 20–25 (Mi vmumm175)  
Mathematics

A condition for almost everywhere convergence of orthorecursive expansions

V. V. Galatenko, T. P. Lukashenko, V. A. Sadovnichii

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: An almost everywhere convergence condition with Weyl multiplier $W(n)=\sqrt n$ is obtained for orthorecursive expansions that converge to the expanded fuinction in $L^2$.
Key words: orthorecursive expansions, Weyl multiplier of almost everywhere convergence.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00417
Ministry of Education and Science of the Russian Federation НШ-7461.2016.1
Received: 25.03.2016
English version:
Moscow University Mathematics Bulletin, 2016, Volume 71, Issue 5, Pages 191–195
DOI: https://doi.org/10.3103/S002713221605003X
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: V. V. Galatenko, T. P. Lukashenko, V. A. Sadovnichii, “A condition for almost everywhere convergence of orthorecursive expansions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 5, 20–25; Moscow University Mathematics Bulletin, 71:5 (2016), 191–195
Citation in format AMSBIB
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