Tauberian-type theorems with application to the Stieltjes transformation

S. B. Gaikwad and M. S. Chaudhary

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-10

Abstract:

In the first part, we define the space L ' ( r ) and the modified Stieltjes transformation introduced by Lavoine and Misra (1979) and Marichev (1983), respectively. In the second part of the paper, we extend Tauberian-type theorems for the distributional Stieltjes transformations to the distributional modified Stieltjes transformations.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:075816

DOI: 10.1155/ijmms/2006/75816

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