Geodesic
The nature of convergence of the Fourier series for functions of bounded variation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2010), pp. 48-51.

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We study increasing sequences of positive integers that divide the Fourier series of functions of bounded variation into blocks of absolutely convergent series. We obtain a new version of the stability theorem for such sequences.
Keywords: Fourier series, functions of bounded variation, absolute convergence. 
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     author = {S. A. Telyakovskii},
     title = {The nature of convergence of the {Fourier} series for functions of bounded variation},
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S. A. Telyakovskii. The nature of convergence of the Fourier series for functions of bounded variation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2010), pp. 48-51. http://geodesic.mathdoc.fr/item/IVM_2010_3_a6/

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