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{\cal Y}_{\bieta} AND {\cal H}_{\bieta} TRANSFORMS IN {\cal L}_{\binu, r} -SPACES

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Publication:4782658
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DOI10.1080/10652460213515zbMath1028.44003OpenAlexW2018850806MaRDI QIDQ4782658

Elena V. Gromak, Anatoliy Aleksandrovich Kilbas

Publication date: 2 December 2002

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

Full work available at URL: https://doi.org/10.1080/10652460213515


zbMATH Keywords

boundednessrepresentationrangeinversion relationsspaces of \(p\)-summable functions\textbf{H}-transformintegral transforms with Bessel function in the kernelsStruwe functions


Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)


Related Items (2)

Asymptotic expansions of 𝒴ηtransform ⋮ A formula for the norm of an averaging operator on weighted Lebesgue space




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