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The central limit theorem for trigonometric series

Published online by Cambridge University Press:  22 January 2016

Takafumi Murai
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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 87 , November 1982 , pp. 79 - 94
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1982

References

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[5] Zygmund, A., Trigonometric series II, Cambridge Univ. Press, 1959.Google Scholar