Advanced Studies in Pure Mathematics

On lacunary trigonometric product

Katusi Fukuyama

Full-text: Open access

Abstract

We prove the law of the iterated logarithm for gap series under weak regularity condition and apply to the lacunary trigonometric product.

Article information

Source
Probability and Number Theory — Kanazawa 2005, S. Akiyama, K. Matsumoto, L. Murata and H. Sugita, eds. (Tokyo: Mathematical Society of Japan, 2007), 79-90

Dates
Received: 6 February 2006
Revised: 2 June 2006
First available in Project Euclid: 27 January 2019

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1548550894

Digital Object Identifier
doi:10.2969/aspm/04910079

Mathematical Reviews number (MathSciNet)
MR2405599

Zentralblatt MATH identifier
1196.60048

Subjects
Primary: 60F15: Strong theorems
Secondary: 42A55: Lacunary series of trigonometric and other functions; Riesz products

Citation

Fukuyama, Katusi. On lacunary trigonometric product. Probability and Number Theory — Kanazawa 2005, 79--90, Mathematical Society of Japan, Tokyo, Japan, 2007. doi:10.2969/aspm/04910079. https://projecteuclid.org/euclid.aspm/1548550894


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