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On a singular measure of D. M. Connolly and J. H. Williamson
Published online by Cambridge University Press: 20 January 2009
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In (1) a measure λ∈M(ℝ) is constructed and shown to satisfy the following:
(i) 
is absolutely continuous, where 
denotes the measure with 
for all Borel sets E,
(ii) λ*λ = λ2 is singular,
(iii) λk = λk−1*λ is absolutely continuous for K ≧6.
- Type
- Research Article
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- Copyright
- Copyright © Edinburgh Mathematical Society 1976
References
REFERENCES
(1) Connolly, D. M. and Williamson, J. H., An application of a theorem of Singer, Proc. Edinburgh Math. Soc. 19 (1974), 119–123.CrossRefGoogle Scholar
(2) Brown, G. and Moran, W., Coin tossing and powers of singular measures, Proc. Cambridge Philos. Soc., to appear.Google Scholar
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