The stieltjes transform of distributions

U. N. Tiwari and J. N. Pandey

International Journal of Mathematics and Mathematical Sciences, 1979, vol. 2, 1-18

Abstract:

In the present work, two complex inversion formulas of Byrne and Love for generalized Stieltjes transformation are shown to be valid for a class of distributions. This is accomplished by transfering the complex inversion formulas on the testing function space of a class of distributions and then showing that the limiting process in the resulting formula converges in the topology of the testing function space.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:394208

DOI: 10.1155/S016117127900034X

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