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On two new characterizations of Steiltjes transforms for distributions

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  • Sunil Kumar Sinha

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.

Suggested Citation

  • Sunil Kumar Sinha, 1985. "On two new characterizations of Steiltjes transforms for distributions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 8, pages 1-5, January.
    • Handle: RePEc:hin:jijmms:759781
    DOI: 10.1155/S0161171285000801
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