Generalized Lambert-type transforms over integrable Boehmians

DOI10.1080/10652469.2021.2023517zbMath1506.44004OpenAlexW4206369971MaRDI QIDQ5102223

Emilio R. Negrin, Rajakumar Roopkumar

Publication date: 6 September 2022

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

Full work available at URL: https://doi.org/10.1080/10652469.2021.2023517

zbMATH Keywords

convolutioninversion formulaeintegrable BoehmiansLambert-type transforms

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Calculus of Mikusi?ski and other operational calculi (44A40) General integral transforms (44A05)

Cites Work

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• Inversions of generalized Lambert transforms
• The Lambert transform over distributions of compact support, \(L^1\)-functions and Boehmian spaces
• Generalizations of the Riemann-Lebesgue and Cantor-Lebesgue lemmas
• On flexibility of boehmians
• Integral and series transformations via Ramanujan's identities and Salem's type equivalences to the Riemann hypothesis

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