Stieltjes transforms defined by \(C_0\)-semigroups

DOI10.1016/J.CAM.2009.07.033zbMath1190.44002OpenAlexW2031980815MaRDI QIDQ970410

Pedro José Miana

Publication date: 17 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.07.033

zbMATH Keywords

integral equations\(C_{0}\)-semigroupsStieltjes and Laplace transforms

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Laplace transform (44A10)

Related Items (1)

Finite-part integration of the generalized Stieltjes transform and its dominant asymptotic behavior for small values of the parameter. I. Integer orders

Cites Work

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• Recent developments on the Stieltjes transform of generalized functions
• A theorem on the generalized Stieltjes transform and its applications
• The vector-valued Stieltjes transform

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