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The Gaussian law and lacunary sets of characters
Published online by Cambridge University Press: 09 April 2009
Abstract
Salem and Zygmund (1947, 1948), Baker (1972) and Dudley (1975) have shown that certain lacunary sets P of characters of a compact abelian group have sequences of the form where фk∈P converge to the normal distribution if suitably normalized. In this paper, a theorem of probability due to McLeish (1974) is applied to clarify and extend the previous results.
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- Copyright © Australian Mathematical Society 1979
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