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On two new characterizations of Steiltjes transforms for distributions

Sunil Kumar Sinha

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-5

Abstract:

Two new characterizations of the Stieltjes transform for distribution are developed, using two transformations on the space of distributions viz., dilation U n and exponential shifts T − p . The standard theorem on analyticity, uniqueness and invertibility of the Stieltjes transform are proved, using the new characterization as the definition of the Stieltjes transform.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:759781

DOI: 10.1155/S0161171285000801

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