On the WatsonL2-theory for index transforms I

DOI10.1080/10652460903335079zbMath1202.44006OpenAlexW2059217275MaRDI QIDQ3570149

Semyon B. Yakubovich

Publication date: 24 June 2010

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

Full work available at URL: https://doi.org/10.1080/10652460903335079

zbMATH Keywords

modified Bessel functionsKontorovich-Lebedev transformMehler-Fock transformMellin-Barnes integralsParseval equalityWatson's theoremPlancherel theoremindex transformsWatson transformsOlevskii transformWatson kernels

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

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• \(L_p\)-boundedness of general index transforms
• A Class of Index Transforms with General Kernels
• General Transforms

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