caa a22 4500 467939098 CHVBK 20180406153007.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s10444-004-7612-5 doi (NATIONALLICENCE)springer-10.1007/s10444-004-7612-5 Buhmann M. Lehrstuhl für Numerik, Justus-Liebig-Universität, Heinrich-Buff-Ring 44, 35392, Giessen, Germany aut Semi-infinite cardinal interpolation with multiquadrics and beyond [Elektronische Daten] [M. Buhmann] 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. Springer, 2006 interpolation nationallicence radial basis functions nationallicence Wiener-Hopf factorisation nationallicence multivariate approximation nationallicence Advances in Computational Mathematics Kluwer Academic Publishers 24/1-4(2006-01-01), 57-80 1019-7168 24:1-4<57 2006 24 10444 https://doi.org/10.1007/s10444-004-7612-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10444-004-7612-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Buhmann M. Lehrstuhl für Numerik, Justus-Liebig-Universität, Heinrich-Buff-Ring 44, 35392, Giessen, Germany aut NATIONALLICENCE 773 0- Advances in Computational Mathematics Kluwer Academic Publishers 24/1-4(2006-01-01), 57-80 1019-7168 24:1-4<57 2006 24 10444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer