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On lacunary 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 are concerned with the behaviour of Fourier series in an interval [0, 2K) and, in particular, interested in that of so-called lacunary series. The spectrum of a Taylor series is defined by Spec (F) = , where Z + denotes the semi-group of positive integers.

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