Direct form seminorms arising in the theory of interpolation by Hankel translates of a basis function

DOI10.1007/s10444-013-9303-6zbMath1311.46029OpenAlexW1992598467MaRDI QIDQ457671

Isabel Marrero, Cristian Arteaga

Publication date: 29 September 2014

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-013-9303-6

zbMATH Keywords

Bessel operatorbasis functionHankel convolutiondirect form seminormgeneralized surface splinegeneralized thin-plate splineindirect form seminormminimal norm interpolant

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral transforms in distribution spaces (46F12) Interpolation in approximation theory (41A05)

Related Items (3)

Density in spaces of interpolation by Hankel translates of a basis function ⋮ The role of nonpolynomiality in uniform approximation by RBF networks of Hankel translates ⋮ Radial basis function neural networks of Hankel translates as universal approximators

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