Abelian theorems for Laplace and Mehler-Fock transforms of generalized functions

DOI10.2298/FIL2011655GzbMath1499.46083OpenAlexW3151792540MaRDI QIDQ5081254

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Publication date: 14 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2011655g

zbMATH Keywords

Laplace transformgeneralized functionsMehler-Fock transformLegendre functiongeneral orderdistributions of compact supportabelian theorems

Mathematics Subject Classification ID

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

Related Items (3)

Abelian theorems for Laplace, Mellin and Stieltjes transforms over distributions of compact support and generalized functions ⋮ Unnamed Item ⋮ An operational calculus for a Mehler-Fock type index transform on distributions of compact support

Cites Work

• A characterization of the second quantization by using the Segal duality transform
• \(L^{p}\)-inequalities and Parseval-type relations for the Mehler-Fock transform of general order
• \(L_{\alpha }^p\)-boundedness of the pseudo-differential operators associated with the Kontorovich-Lebedev transform
• Abelian theorems for distributional Kontorovich-Lebedev and Mehler-Fock transforms of general order
• A new class of abelian theorems for the Mehler-Fock transforms
• A family of Wiener transforms associated with a pair of operators on Hilbert space
• NewL^p-boundedness properties for the Kontorovich–Lebedev and Mehler–Fock transforms
• Some Abelian Theorems for the Distributional Hankel and K Transformations
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