A condition for almost everywhere convergence of orthorecursive expansions

An almost everywhere convergence condition with the Weyl multiplier W 111111111( n ) = v n is obtained for orthorecursive expansions that converge to the expanded function in L 2 .

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Bibliographic Details
Published in:Moscow University mathematics bulletin 2016-09, Vol.71 (5), p.191-195
Main Authors: Galatenko, V.V., Lukashenko, T.P., Sadovnichii, V.A.
Format: Article
Language:English
Subjects:
Analysis
Convergence
Mathematics
Mathematics and Statistics
Online Access:Get full text
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Description
Summary:An almost everywhere convergence condition with the Weyl multiplier W 111111111( n ) = v n is obtained for orthorecursive expansions that converge to the expanded function in L 2 .
ISSN:0027-1322
1934-8444
DOI:10.3103/S002713221605003X