Semi-infinite cardinal interpolation with multiquadrics and beyond |
| |
Authors: | M. D. Buhmann |
| |
Affiliation: | 001. Lehrstuhl für Numerik, Justus-Liebig-Universit?t, Heinrich-Buff-Ring 44, 35392, Giessen, Germany
|
| |
Abstract: | This paper concerns the interpolation with radial basis functions on half-spaces, where the centres are multi-integers restricted to half-spaces as well. The existence of suitable Lagrange functions is shown for multiquadrics and inverse multiquadrics radial basis functions, as well as the decay rate and summability of its coefficients. The main technique is a so-called Wiener–Hopf factorisation of the symbol of the radial basis function and the careful study of the smoothness of its 2π-periodic factors. Dedicated to Charles A. Micchelli on his 60th Birthday Mathematics subject classifications (2000) 41A05, 41A15, 41A63, 47A68, 65D05, 65D07. |
| |
Keywords: | interpolation radial basis functions Wiener– Hopf factorisation multivariate approximation |
本文献已被 SpringerLink 等数据库收录! |
|