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Study of some trigonometric series
Authors:A. S. Belov
Affiliation:(1) V. A Steklov Mathematics Institute, Academy of Sciences of the USSR, USSR
Abstract:In this paper we generalize a result due to Hardy. We present a simple example of an everywhere divergent trigonometric series over the squares of the positive integers with coefficients which tend to zero.Translated from Matematicheskie Zametki, Vol. 13, No. 4, pp. 481–492, April, 1973.
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