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Mathematics of the USSR-Izvestiya, 1971, Volume 5, Issue 2, Pages 379–392
DOI: https://doi.org/10.1070/IM1971v005n02ABEH001052 (Mi im1977) 		 
Convergence and uniform convergence of Fourier series

A. A. Zakharov
English version PDF (402 kB) Russian version article
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DOI: https://doi.org/10.1070/IM1971v005n02ABEH001052
Abstract: We prove theorems on the convergence and uniform convergence of the Fourier series of periodic functions at a point under local and global hypotheses on the functions. The results are extended to uniform convergence and convergence almost everywhere.
Received: 03.06.1970
Bibliographic databases:
UDC: 517.5
MSC: 42A20
Language: English
Original paper language: Russian
Citation: A. A. Zakharov, “Convergence and uniform convergence of Fourier series”, Math. USSR-Izv., 5:2 (1971), 379–392
Citation in format AMSBIB
\Bibitem{Zak71}
\by A.~A.~Zakharov
\paper Convergence and uniform convergence of Fourier series
\jour Math. USSR-Izv.
\yr 1971
\vol 5
\issue 2
\pages 379--392
\mathnet{http://mi.mathnet.ru//eng/im1977}
\crossref{https://doi.org/10.1070/IM1971v005n02ABEH001052}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=300003}
\zmath{https://zbmath.org/?q=an:0214.32102}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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