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A tauberian theorem related to the modified Hankel transform
Published online by Cambridge University Press: 17 April 2009
Abstract
The modified Hankel transform arises naturally in connection with certain semigroup operations on measures in probability theory. We give a tauberian theorem for this transform when certain higher moments exist. The probabilistic significance of our result is that it translates a regularity condition on the transform into a direct condition on the measure. This complements earlier results by Pitman and Bingham for the trigonometric and the modified Hankel transform respectively.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 11 , Issue 2 , October 1974 , pp. 167 - 180
- Copyright
- Copyright © Australian Mathematical Society 1974
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