Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis functions on the unit sphere
暂无分享,去创建一个
[1] A. Ron,et al. Strictly positive definite functions on spheres in Euclidean spaces , 1994, Math. Comput..
[2] Volker Schönefeld. Spherical Harmonics , 2019, An Introduction to Radio Astronomy.
[3] Holger Wendland,et al. Scattered Data Approximation: Conditionally positive definite functions , 2004 .
[4] I. J. Schoenberg. Positive definite functions on spheres , 1942 .
[5] Holger Wendland,et al. Multiscale Analysis in Sobolev Spaces on the Sphere , 2010, SIAM J. Numer. Anal..
[6] Holger Wendland,et al. Direct and Inverse Sobolev Error Estimates for Scattered Data Interpolation via Spherical Basis Functions , 2007, Found. Comput. Math..
[7] Joseph D. Ward,et al. Scattered-Data Interpolation on Rn: Error Estimates for Radial Basis and Band-Limited Functions , 2004, SIAM J. Math. Anal..
[8] F. J. Narcowich,et al. Approximation with interpolatory constraints , 2001 .
[9] Joseph D. Ward,et al. Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions , 2002, SIAM J. Math. Anal..
[10] Holger Wendland,et al. Continuous and discrete least-squares approximation by radial basis functions on spheres , 2006, J. Approx. Theory.
[11] F. J. Narcowich,et al. Sobolev Error Estimates and a Bernstein Inequality for Scattered Data Interpolation via Radial Basis Functions , 2006 .
[12] M. Abramowitz,et al. Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .