On the Fabry Ratio Theorem for Orthogonal Series
Informatics and Automation, Complex analysis and applications, Tome 253 (2006), pp. 14-29

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It is proved that the Fabry ratio theorem for power series is valid under quite general assumptions and for orthogonal series.
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     author = {V. I. Buslaev},
     title = {On the {Fabry} {Ratio} {Theorem} for {Orthogonal} {Series}},
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V. I. Buslaev. On the Fabry Ratio Theorem for Orthogonal Series. Informatics and Automation, Complex analysis and applications, Tome 253 (2006), pp. 14-29. http://geodesic.mathdoc.fr/item/TRSPY_2006_253_a1/