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.
@article{TM_2006_253_a1,
author = {V. I. Buslaev},
title = {On the {Fabry} {Ratio} {Theorem} for {Orthogonal} {Series}},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {14--29},
publisher = {mathdoc},
volume = {253},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_2006_253_a1/}
}
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/