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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014 Number 5, Pages 51–53 (Mi vmumm350)
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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.

UDC: 517.52

Received: 25.06.2012
Revised: 22.04.2013


 English version: Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2014, 69:5, 217–219

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