Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis functions on the unit sphere

DOI10.1016/j.acha.2011.07.007zbMath1238.41020OpenAlexW2139932799MaRDI QIDQ413649

Ian H. Sloan, Quoc Thong Le Gia, Holger Wendland

Publication date: 7 May 2012

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2011.07.007

zbMATH Keywords

radial basis functionunit spheremultiscale approximation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63)

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Cites Work

• Sobolev error estimates and a Bernstein inequality for scattered data interpolation via radial basis functions
• Continuous and discrete least-squares approximation by radial basis functions on spheres
• Direct and inverse Sobolev error estimates for scattered data interpolation via spherical basis functions
• Spherical harmonics
• Positive definite functions on spheres
• Multiscale Analysis in Sobolev Spaces on the Sphere
• Strictly Positive Definite Functions on Spheres
• Scattered-Data Interpolation on $\bb R^\protectn$: Error Estimates for Radial Basis and Band-Limited Functions
• Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions
• Approximation with interpolatory constraints
• Scattered Data Approximation

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