Stieltjes transforms on new generalized functions

John Schmeelk

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 25, 1-7

Abstract:

We introduce a Stieltjes transform on the equivalence classes of a new generalized function which has been successfully developed by Colombeau. Subsets of rapid descent test functions, 𝒮 ( ℝ n ) , as well as tempered distributions, 𝒮 ′ ( ℝ n ) , are used to preserve Fourier analysis techniques.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:490693

DOI: 10.1155/S0161171201004252

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