The generalized Hardy-Titchmarsh transform in the space of summable functions.

zbMath1045.44002MaRDI QIDQ1432284

A. N. Borovko, Megumi Saigo, Anatoliy Aleksandrovich Kilbas

Publication date: 15 June 2004

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

boundednessGauss hypergeometric functionrangeinversion formulasLaplace and Hankel transformsgeneralized fractional integrals\(G\)-transforms\(H\)-transformsgeneralized Hardy-Titchmarsh transformRiemann-Liouville and Erdelyi-Kober fractional integralsspace of summable functions

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

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Hankel-Schwartz and Hankel-Clifford transforms on \({\mathcal L}_{\nu,p}\)-spaces

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