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The stieltjes transform of distributions

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  • U. N. Tiwari
  • J. N. Pandey

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.

Suggested Citation

  • U. N. Tiwari & J. N. Pandey, 1979. "The stieltjes transform of distributions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2, pages 1-18, January.
    • Handle: RePEc:hin:jijmms:394208
    DOI: 10.1155/S016117127900034X
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