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Matematicheskie Zametki, 1975, Volume 17, Issue 4, Pages 501–510 (Mi mzm7569)  
On the convergence of double Fourier series of discontinuous functions

R. A. Avetisyan

M. V. Lomonosov Moscow State University
Full-text PDF (539 kB)
Abstract: In the paper we obtain a formula for the computation of the rectangular partial sums of a double Fourier series of a function of two variables at the point (0, 0), having a discontinuity along any ray at this point. We also give an estimate of the remainder in the abovementioned formula.
Received: 22.06.1972
English version:
Mathematical Notes, 1974, Volume 17, Issue 4, Pages 294–300
DOI: https://doi.org/10.1007/BF01105378
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: R. A. Avetisyan, “On the convergence of double Fourier series of discontinuous functions”, Mat. Zametki, 17:4 (1975), 501–510; Math. Notes, 17:4 (1974), 294–300
Citation in format AMSBIB
\Bibitem{Ave75}
\by R.~A.~Avetisyan
\paper On the convergence of double Fourier series of discontinuous functions
\jour Mat. Zametki
\yr 1975
\vol 17
\issue 4
\pages 501--510
\mathnet{http://mi.mathnet.ru/mzm7569}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=394030}
\zmath{https://zbmath.org/?q=an:0326.42013|0317.42017}
\transl
\jour Math. Notes
\yr 1974
\vol 17
\issue 4
\pages 294--300
\crossref{https://doi.org/10.1007/BF01105378}
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