WEIGHTED NORMAL NUMBERS

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We show that if {a(k)}(k) is bounded then [GRAPHICS] for almost every 0 less than or equal to x (l)ess than or equal to 1 where x = [GRAPHICS] is the dyadic expansion of x. It is also shown that (1/n) Sigma(k=1)(n) a(k) exp (2 pi i . p(k)x) --> 0 almost everywhere where p > 1 is any fixed integer.
Publisher
AUSTRALIAN MATHEMATICS PUBL ASSOC INC
Issue Date
1995-10
Language
English
Article Type
Article
Citation

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, v.52, no.2, pp.177 - 181

ISSN
0004-9727
URI
http://hdl.handle.net/10203/71932
Appears in Collection
MA-Journal Papers(저널논문)
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