This article is cited in 4 papers

Study of some trigonometric series

A. S. Belov

V. A. Steklov Mathematical Institute, USSR Academy of Sciences

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.

UDC: 517. 5

Received: 17.11.1972

 English version: Mathematical Notes, 1973, 13:4, 291–298

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