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

نویسندگان

  • Q. T. Le Gia
  • I. H. Sloan
  • H. Wendland
چکیده

In this paper, we prove convergence results for multiscale approximation using compactly supported radial basis functions restricted to the unit sphere, for target functions outside the reproducing kernel Hilbert space of the employed kernel.

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تاریخ انتشار 2011