The central limit theorem for lacunary series
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- by Katusi Fukuyama and Shigeru Takahashi PDF
- Proc. Amer. Math. Soc. 127 (1999), 599-608 Request permission
Abstract:
In this paper, the central limit theorem for lacunary trigonometric series is proved. Two gap conditions by Erdős and Takahashi are extended and unified. The criterion for the Fourier character of lacunary series is also given.References
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Additional Information
- Katusi Fukuyama
- Affiliation: Department of Mathematics, Kobe University, Rokko, Kobe, 657 Japan
- MR Author ID: 256708
- Email: fukuyama@math.s.kobe-u.ac.jp
- Shigeru Takahashi
- Affiliation: Yamamichi-cho 21-1-601, Hirosaki, 036 Japan
- Received by editor(s): January 27, 1997
- Received by editor(s) in revised form: May 23, 1997
- Communicated by: Stanley Sawyer
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 599-608
- MSC (1991): Primary 60F05, 42A55
- DOI: https://doi.org/10.1090/S0002-9939-99-04541-4
- MathSciNet review: 1468191