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Example of a divergent Fourier series in the Vilenkin system.

Authors :
Polyakov, I. A.
Source :
Mathematical Notes. Jun2011, Vol. 89 Issue 5/6, p734-740. 7p.
Publication Year :
2011

Abstract

We construct an example of a function from the class $Lo(\sqrt {\ln ^ + L} )$ whose Fourier-Vilenkin series diverges almost everywhere. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00014346
Volume :
89
Issue :
5/6
Database :
Academic Search Index
Journal :
Mathematical Notes
Publication Type :
Academic Journal
Accession number :
61930671
Full Text :
https://doi.org/10.1134/S0001434611050130