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The central limit theorem for trigonometric series

Published online by Cambridge University Press:  22 January 2016

Takafumi Murai*
Affiliation:
Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-ku, Nagoya, 464, Japan
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We denote by Z + the semi-group of positive integers. For a subset E of Z +, we denote by |E| (≦ + ∞) its cardinal number and by E(n) the intersection of E and an interval [1, n) (n ≧ 1). We shall identify a subset E of Z + with a sequence, arranging elements of E according to their order.

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1982