Iteration of the Laplace transform over generalized functions and a Post-Widder inversion formula over distributions of compact support

DOI10.1080/10652469.2023.2212398OpenAlexW4376508714MaRDI QIDQ6061002

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Publication date: 30 October 2023

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

Full work available at URL: https://doi.org/10.1080/10652469.2023.2212398

zbMATH Keywords

Laplace transformStieltjes transformiterationgeneralized functionsPost-Widder inversion formuladistributions of compact support

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Laplace transform (44A10)

Cites Work

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• Real inversion formula for the bilateral Laplace transform
• Iterated Stieltjes transform of generalized functions
• Recent developments on the Stieltjes transform of generalized functions
• Convergence rate of Post-Widder approximate inversion of the Laplace transform
• The iterates of the Laplace kernel
• On the iterated Stieltjes transform and its convolution with applications to singular integral equations
• Some new convolution properties and inversion formulas of Laplace transforms
• The Stieltjes Transform
• Analytical solutions of some general classes of differential and integral equations by using the Laplace and Fourier transforms

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