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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 5, Pages 51–53
(Mi vmumm350)
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Short notes
An example of a “bad” function with “good” Fourier coefficients
B. Ayanbayev Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
An example of “bad” integrable function with “good” Fourier coefficients is constructed in the paper. This result generalizes one theorem of M. I. Dyachenko and S. Yu. Tikhonov.
Key words:
integrability of functions, Fourier coefficients.
Received: 25.06.2012 Revised: 22.04.2013
Citation:
B. Ayanbayev, “An example of a “bad” function with “good” Fourier coefficients”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 5, 51–53; Moscow University Mathematics Bulletin, 69:5 (2014), 217–219
Linking options:
https://www.mathnet.ru/eng/vmumm350 https://www.mathnet.ru/eng/vmumm/y2014/i5/p51
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