A variant of the Stieltjes transform on distributions of compact support

DOI10.1016/j.amc.2006.08.116zbMath1133.46022OpenAlexW2029718905MaRDI QIDQ884107

Benito J. González, Emilio R. Negrin, Nácere Hayek

Publication date: 13 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.116

zbMATH Keywords

distributionsinversion formulamodified Stieltjes transform

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12)

Related Items (5)

On the generalized Stieltjes transform over weighted Lebesgue spaces and distributions of compact support ⋮ Exchange formulae for the generalized Stieltjes transform over weighted Lebesgue spaces ⋮ Finite-part integration of the generalized Stieltjes transform and its dominant asymptotic behavior for small values of the parameter. I. Integer orders ⋮ Poisson transform on Boehmians ⋮ A distributional inversion formula for a generalization of the Stieltjes and Poisson transforms

Cites Work

• Unnamed Item
• Moebius inversion of Fourier transforms
• Inversions of generalized Lambert transforms
• An inversion of the Stieltjes transform
• Recent developments on the Stieltjes transform of generalized functions
• The generalized Lambert transform on distributions of compact support
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

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