Integral transforms with the Legendre function of the first kind in the kernels on -spaces

DOI10.1080/10652460902742762zbMath1181.44004OpenAlexW2048780296MaRDI QIDQ3644324

O. V. Skoromnik, Anatoliy Aleksandrovich Kilbas

Publication date: 4 November 2009

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

Full work available at URL: https://doi.org/10.1080/10652460902742762

zbMATH Keywords

boundednessrepresentationinversion theoremrange\(H\)-transformspaces of \(p\)-summable functionsintegral transforms with the Legendre function of the first kind in the kernels

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Linear operators on function spaces (general) (47B38) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (3)

Unnamed Item ⋮ Multi-dimensional integral transforms with the Fox \(H \)-function and the Legendre function of first kind in kernels on \(\mathfrak{L}_{\overline{\nu},\overline{r}} \)-spaces ⋮ One-Dimensional and Multi-Dimensional Integral Transforms of Buschman–Erdélyi Type with Legendre Functions in Kernels

Cites Work

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• On a singular boundary value problem for an equation of hyperbolic type
• Some integral equations involving finite parts of divergent integrals
• An Integral Equation Involving Legendre Functions
• An Inversion Integral for a General Legendre Transformation

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