Geodesic
Series expansion in a system of rational functions
Sbornik. Mathematics, Tome 19 (1973) no. 4, pp. 531-545 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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A. M. Lukatskii. Series expansion in a system of rational functions. Sbornik. Mathematics, Tome 19 (1973) no. 4, pp. 531-545. http://geodesic.mathdoc.fr/item/SM_1973_19_4_a2/

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[2] M. M. Dzhrbashyan, “Razlozhenie po sistemam ratsionalnykh funktsii s fiksirovannymi polyusami”, Izv. AN ArmSSR, seriya fiz.-matem., 2:1 (1967), 3–51 | Zbl

[3] A. A. Kitbalyan, “Razlozheniya po obobschennym trigonometricheskim sistemam”, Izv. AN ArmSSR, seriya fiz.-matem., 16:6 (1963), 3–24 | MR

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[5] G. Ts. Tumarkin, “Priblizhenie v razlichnykh metrikakh funktsii, zadannykh na okruzhnosti, posledovatelnostyami ratsionalnykh drobei”, Izv. AN SSR, seriya matem., 30 (1966), 721–766 | MR | Zbl

[6] A. Zigmund, Trigonometricheskie ryady, t. I, izd-vo «Mir», Moskva, 1965 | MR

[7] I. I. Privalov, Granichnye svoistva analiticheskikh funktsii, Gostekhizdat, Moskva, 1960

[8] N. I. Akhiezer, Lektsii po teorii approksimatsii, izd-vo «Nauka», Moskva, 1965 | MR