Fractional derivatives and the inverse Fourier transform of ℓ1-radial functions

DOI10.1080/1065246042000210412zbMath1095.42008OpenAlexW2035667909MaRDI QIDQ4822848

Wolfgang Zu Castell

Publication date: 25 October 2004

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

Full work available at URL: https://doi.org/10.1080/1065246042000210412

zbMATH Keywords

B-splinefractional derivativeFourier-Bessel transformradial functionsMeijer \(G\)-functionDirichlet splines

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hypergeometric functions as a tool for summability of the Fourier integral
• Dirichlet splines as fractional integrals of \(B\)-splines
• The special functions and their approximations. Vol. I, II
• l-1 summability of multiple Fourier integrals and positivity
• A Class of Fourier Kernels

This page was built for publication: Fractional derivatives and the inverse Fourier transform of ℓ₁-radial functions