This is a presentation of the main results of the 2nd International Conference on Multivariate Approximation, held at Witten–Bommerholz, September 29 to October 4, 1996. There are contributions to the following topics: Interpolation and Hyper–interpolation on the Sphere, Quadrature, Discrepancy and Spherical Designs, Multivariate Convex Spline Interpolation, Triangular Finite Element Spaces, Polar Form of Splines, Refinable Spline Pairs, Local Box Dimension of Fractal Functions, Symbolic Treatment of Algebraic Systems, Harmonic Approximation and Boundary Behaviour, Quasi–Balayage, Landau–Kolmogorov Inequality, Trigonometric Approximation in Multivariate Periodic Hilbert Spaces, Orthonormal Polynomial Bases of Low Degree, Synthesis and Analysis with Multivariate Wavelets and Frames.

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