A distributional inversion formula for a generalization of the Stieltjes and Poisson transforms

DOI10.1080/10652460902979265zbMath1215.44004OpenAlexW2084559556MaRDI QIDQ3651171

Benito J. González, Emilio R. Negrin

Publication date: 8 December 2009

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460902979265

zbMATH Keywords

Stieltjes transformPoisson transformMöbius numberdistributional inversion formulageneralized Lambert transformintegral transform of Stieltjes type

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (1)

A unified extension of Stieltjes and Poisson transforms to Boehmians

Cites Work

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• An inversion of the Stieltjes transform
• A variant of the Stieltjes transform on distributions of compact support
• Recent developments on the Stieltjes transform of generalized functions
• The generalized Lambert transform on distributions of compact support
• A transform related to the Poisson integral for a half-plane
• Complex inversion formula for the distributional Stieltjes transform
• Parseval–Goldstein type identities involving the ℒ₄-transform and the 𝒫₄-transform and their applications

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