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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

P. M. Ludvik
P. M. Ludvik
Affiliation:
University of York
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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
Information
Proceedings of the Edinburgh Mathematical Society , Volume 20 , Issue 1 , March 1976 , pp. 59 - 61
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