Ebook: Multivariate Approximation Theory II Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, February 8-12, 1982

Some remarks on product approximations -- Approximation theory on a snowflake -- Estimates and bounds for the doubly perturbed eigenvalue problem -- Remarks on reduced Hermite interpolation -- Ein Beispiel zur Theorie der besten Approximation -- On spaces of piecewise polynomials with boundary conditions. I. Rectangles -- Some remarks on multivariate B-splines -- On discrete trivariate blending interpolation -- On precision sets of interpolation projectors -- Which closed convex subsets of an inner product space are Chebyshev? -- Interpolation methods for numerical analytic continuation -- Blending-Splines auf Dreiecksnetzen -- Remainder terms in numerical integration formulas of the sphere -- A generalized Sylvester's identity on determinants and its applications to interpolation problems -- Biorthogonality in approximation -- Cubature remainder and biorthogonal systems -- Product approximation: Error estimates -- A Lagrangian method for multivariate continuous Chebyshev approximation problems -- Construction of surfaces of class &k on a domain ? C ?2, after triangulation -- Minimal projections and near-best approximations by multivariate polynomial expansion and interpolation -- Sharp "a priori" error bounds for polynomial approximation in Sobolev spaces -- An immediate construction of numerical integration and differentiation formulae -- On the approximation by multiple orthogonal series -- Quantitative theorems on approximation processes of positive linear operators -- Some relationships between surface splines and Kriging -- A view of mathematics -- Drei statt einer reellen Variablen? -- Eine Methode zur Konstruktion von c1-Flächen zur Interpolation unregelmässig verteilter Daten -- Approximation theory and "domain of dependence" for P.D.E. of hyperbolic type -- Properties of spline projections -- A survey of recent results on approximation theory in China -- Vector splines on the sphere, with application to the estimation of vorticity and divergence from discrete, noisy data.