Divergence of orthogonal series to +∞ |
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Authors: | R I Osipov A A Talalyan |
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Institution: | (1) Institute of Mathematics and Mechanics, Academy of Sciences of the Armenian SSR, Erevan State University, USSR |
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Abstract: | An overall bounded orthonormal set of functions
n
(x) is constructed for which there exists a series
m
=1 an n(x) with coefficients an=o(ln'n/ n), which diverges to + almost everywhere. The bibliography contains 4 references.Translated from Matematicheskie Zametki, Vol. 2, No. 5, pp. 483–494, November, 1967. |
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Keywords: | |
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