Abelian theorems for Laplace, Mellin and Stieltjes transforms over distributions of compact support and generalized functions

DOI10.1007/s12215-022-00799-8zbMath1526.46029OpenAlexW4289171538WikidataQ113899600 ScholiaQ113899600MaRDI QIDQ6159177

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Publication date: 1 June 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-022-00799-8

zbMATH Keywords

Mellin transformStieltjes transformgeneralized functionstwo-sided Laplace transformdistributions of compact supportabelian theoremsone-sided real Laplace transform

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Integral operators (47G10)

Cites Work

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• A direct approach to the Mellin transform
• Abelian theorems for distributional Kontorovich-Lebedev and Mehler-Fock transforms of general order
• The Kontorovich–Lebedev transformation on distributions of compact support and its inversion
• Abelian theorems for Laplace and Mehler-Fock transforms of generalized functions
• The Laplace Transform of Generalized Functions
• Some Abelian Theorems for the Distributional Hankel and K Transformations
• An inversion formula for the generalized Stieltjes transform
• What is the Laplace Transform?

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