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Stieltjes transforms of generalised functions*

Published online by Cambridge University Press:  14 February 2012

A. Erdélyi
A. Erdélyi
Affiliation:
Department of Mathematics, University of Edinburgh
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Synopsis

The Stieltjes transformation is extended to generalised functions both by the direct approach and the method of adjoints, and the resulting extensions are correlated. Inversion formulae are developed, as is the application of fractional integration to these transforms. An integral transformation with a hypergeometric kernel is also briefly considered.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 77 , Issue 3-4 , 1977 , pp. 231 - 249
Copyright
Copyright © Royal Society of Edinburgh 1977

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References

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