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Poisson integrals of absolutely continuous and other measures
Published online by Cambridge University Press: 24 October 2008
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