Geodesic
On the Fabry Ratio Theorem for Orthogonal Series
Trudy Matematicheskogo Instituta imeni V.A. Steklova, 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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V. I. Buslaev. On the Fabry Ratio Theorem for Orthogonal Series. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and applications, Tome 253 (2006), pp. 14-29. http://geodesic.mathdoc.fr/item/TM_2006_253_a1/

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