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

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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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     author = {I. V. Videnskii},
     title = {A~Tauberian theorem for orthogonal series of rational functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     publisher = {mathdoc},
     volume = {315},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_315_a2/}
}
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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/