NDLI: The Gaussian Law and the Law of the Iterated Logarithm for Lacunary Sets of Characters

Content Provider	Scilit
Author	Dudley, E.
Copyright Year	1975
Description	Salem and Zygmund showed that the Gaussian law holds for Hadamard sequences of real numbers while Mary Weiss proved a similar result for the law of the iterated logarithm. In the present paper, the author obtains corresponding results for lacunary sets of characters of an arbitrary infinite compact abelian group. It is shown that the laws are best satisfied for a certain class of lacunary sets but that modified results apply to more general classes.
Related Links	http://www.ams.org/tran/1975-214-00/S0002-9947-1975-0380246-1/S0002-9947-1975-0380246-1.pdf
Ending Page	214
Page Count	28
Starting Page	187
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/1997103
Journal	Transactions of the American Mathematical Society
Volume Number	214
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Gaussian Law Lacunary Sets Iterated Logarithm Characters
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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The Gaussian Law and the Law of the Iterated Logarithm for Lacunary Sets of Characters