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Poisson integrals of absolutely continuous and other measures

Published online by Cambridge University Press:  24 October 2008

Shobha Madan  and
Peter Sjögren
Shobha Madan
Affiliation:
I.S.I. Delhi Center, New Delhi, India
Peter Sjögren
Affiliation:
Chalmers University of Technology, Göteborg, Sweden
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Abstract

We characterize absolutely continuous and continuous measures by means of the g-function and distribution function, respectively, of the Poisson integral in a half space. Some other ways of measuring the Poisson integral are found to make such measures indistinguishable. A variant of the Poisson integral is also studied.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 95 , Issue 1 , January 1984 , pp. 141 - 147
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

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