\(n\)-dimensional Sobolev type spaces involving Hankel transformation

DOI10.1016/J.AMC.2011.03.019zbMath1234.46034OpenAlexW2078042506MaRDI QIDQ648229

Manish Kumar, Akhilesh Prasad, Ram Shankar Pathak

Publication date: 22 November 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.019

zbMATH Keywords

Hilbert spaceHankel transformationHankel convolutionSobolev type space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (2)

Hardy's inequality for the \(n\)-dimensional Hankel transform ⋮ The composition of fractional Hankel wavelet transform on some function spaces

Cites Work

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• Variation diminishing Hankel transforms
• Sobolev type spaces associated with Bessel operators
• The n-Dimensional Distributional Hankel Transformation
• Some Properties of Hankel Convolution Operators
• A convolution operation for a distributional Hankel transformation
• Integral Equations Associated with Hankel Convolutions

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