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