Geodesic
A Tauberian theorem for orthogonal series of rational functions
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 32, Tome 315 (2004), pp. 43-47 Cet article a éte moissonné depuis la source Math-Net.Ru

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The so-called Takenaka–Malmquist system consist of a sequence of functions obtained from the sequence of rational fractions by applying the Gram–Schmidt orthogonalization procedure with respect to the Lesbegue measure on the unite circle. A Tauberian theorem for series with respect to the Takenaka–Malmquist system is proved. 
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I. V. Videnskii. A Tauberian theorem for orthogonal series of rational functions. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 32, Tome 315 (2004), pp. 43-47. http://geodesic.mathdoc.fr/item/ZNSL_2004_315_a2/

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