Recent progress in multivariate approximation. Proceedings of the 4th international conference, Witten-Bommerholz, Germany, Septembe 24--29, 2000 (Q5948138)

The articles of this volume will be reviewed individually. The preceding conference (3, 1998) has been reviewed (see Zbl 0931.00036). Indexed articles: \textit{Reimer, M.; Schwetlick, H.}, Jochen W. Schmidt (August 8, 1931-May 14, 2000) in memoriam, 19-21 [Zbl 0987.01019] \textit{Andreev, Nikolay N.; Yudin, Vladimir A.}, Best approximation of polynomials on the sphere and on the ball, 23-30 [Zbl 0994.41007] \textit{Armitage, David H.; Gardiner, Stephen J.}, The sign of a harmonic function near a zero, 31-32 [Zbl 0983.31002] \textit{Baxter, Brad J. C.; Hubbert, Simon}, Radial basis functions for the sphere, 33-47 [Zbl 1035.41012] \textit{Bojanov, Borislav}, Cubature formulae for polyharmonic functions, 49-74 [Zbl 0988.41017] \textit{Bos, Len; Waldron, Shayne}, On the structure of Kergin interpolation for points in general position, 75-87 [Zbl 0984.41001] \textit{Christensen, Ole; Lindner, Alexander}, Frames containing a Riesz basis and approximation of the inverse frame operator, 89-100 [Zbl 0990.42020] \textit{Conti, Costanza}, Kronecker type convolution of function vectors with one refinable factor, 101-113 [Zbl 0990.65025] \textit{Dryanov, Dimiter; Haußmann, Werner; Petrov, Petar}, Best one-sided \(L^1\)-approximation by \(B^{2,1}\)-blending functions, 115-134 [Zbl 0991.41018] \textit{Dyn, Nira}, Open problem: Existence of Hermite interpolatory subdivision schemes with arbitrary large smoothnesses, 135-137 [Zbl 0990.42023] \textit{Dziedziul, Karol}, Asymptotic formulas in cardinal interpolation and orthogonal projection, 139-157 [Zbl 0987.41004] \textit{Götz, Mario; Saff, Edward B.}, Note on \(d\)-extremal configurations for the sphere in \(\mathbb{R}^{d+1}\), 159-162 [Zbl 0988.31004] \textit{Gushev, Vesselin; Nikolov, Geno}, Some cubature formulae using mixed type data, 163-184 [Zbl 0990.41016] \textit{König, Hermann}, On an extremal problem originating in questions of unconditional convergence, 185-192 [Zbl 0994.47029] \textit{Le Méhauté, Alain; Lafranche, Yvon}, Node insertion and node deletion for radial basis functions, 193-209 [Zbl 0990.41001] \textit{Levesley, Jeremy}, Tangent space methods for approximation on compact homogeneous manifolds, 211-224 [Zbl 0991.41007] \textit{Levesley, Jeremy; Hubbert, Simon}, Open problem concerning Fourier transforms of radial functions in Euclidean space and on spheres, 225-226 [Zbl 1004.33500] \textit{Nürnberger, Günther; Zeilfelder, Frank}, Local Lagrange interpolation on Powell-Sabin triangulations and terrain modelling, 227-244 [Zbl 0986.65006] \textit{Reimer, Manfred}, The geometry of nodes in a positive quadrature on the sphere, 245-248 [Zbl 0990.41017] \textit{Zimmermann, Georg}, Normalized tight frames in finite dimensions, 249-252 [Zbl 0990.42019] Publications of Jochen W. Schmidt, 253-265 [Zbl 0999.01507]