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Mathematics of the USSR-Sbornik, 1973, Volume 19, Issue 4, Pages 531–545
DOI: https://doi.org/10.1070/SM1973v019n04ABEH001806 (Mi sm3066) 		 
Series expansion in a system of rational functions

A. M. Lukatskii
English version PDF (671 kB) Russian version article
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DOI: https://doi.org/10.1070/SM1973v019n04ABEH001806
Abstract: This paper treats the convergence of the Fourier series of a summable function in a system of rational functions on the unit circle, from the inside of the unit circle, and from the outside of the unit circle, for various distributions of the poles of the system.
Bibliography: 8 titles.
Received: 18.07.1972
Bibliographic databases:
UDC: 517.512
MSC: Primary 42A20; Secondary 30A18, 30A76
Language: English
Original paper language: Russian
Citation: A. M. Lukatskii, “Series expansion in a system of rational functions”, Math. USSR-Sb., 19:4 (1973), 531–545
Citation in format AMSBIB
\Bibitem{Luk73}
\by A.~M.~Lukatskii
\paper Series expansion in a~system of rational functions
\jour Math. USSR-Sb.
\yr 1973
\vol 19
\issue 4
\pages 531--545
\mathnet{http://mi.mathnet.ru//eng/sm3066}
\crossref{https://doi.org/10.1070/SM1973v019n04ABEH001806}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=365010}
\zmath{https://zbmath.org/?q=an:0276.42008}
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