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Singularity of generalised Riesz products

Published online by Cambridge University Press:  24 October 2008

R. T. Bott
R. T. Bott
Affiliation:
The University of Adelaide
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Abstract

Criteria for singularity and absolute continuity analogous to Zygmund's for Riesz products, are demonstrated for those generalized products introduced by Modica and Mortola.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 93 , Issue 2 , March 1983 , pp. 335 - 338
Copyright
Copyright © Cambridge Philosophical Society 1983

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References

REFERENCES

(1)Brown, G.Singular infinitely divisible distributions whose characteristic functions vanish at infinity. Math. Proc. Cambridge Phil. Soc. 82 (1977), 277–287.Google Scholar
(2)Modica, L. and Mortola, S.Singular measures and Riesz products. J. London Math. Soc. 25 (1982), 115–121.Google Scholar
(3)Zygmund, A.On Lacunary trigonometric series. Trans. Amer. Math. Soc. 34 (1934), 435–446.Google Scholar