Approximation Theory XIV

Isogeometric Method for the Elliptic Monge-Ampere Equation.- Dual Compatible Splines on non Tensor Product Meshes.- Multivariate Anisotropic Interpolation on the Torus.- A Generalized Class of Hard Thresholding Algorithms for Sparse Signal Recovery.- On a New Proximity Condition for Manifold-Valued Subdivision Schemes.- Wachspress and Mean Value Coordinates.- Hermite and Bernstein Style Basis Functions for Cubic Serendipity Spaces on Squares and Cubes.- Suitability of Parametric Shepard Interpolation for Nonrigid Image Registration.- Parabolic Molecules: Curvelets, Shearlets and Beyond.- Microlocal Analysis of Singularities from Directional Multiscale Representations.- Barycentric Interpolation.- Numerical Determination of Extremal Points and Asymptotic Order of Discrete Minimal Riesz Energy for Regular Compact Sets.- Eigenvalue Sequences of Positive Integral Operators and Moduli of Smoothness.- Reconstructing Multivariate Trigonometric Polynomials from Samples Along Rank-1 Lattices.- On Non-degenerate Rational Approximation.- Multivariate C1-continuous Splines on the Alfeld Split of a Simplex.- On Convergence of Singular Integral Operators with Radial Kernels.- Lower Bound on the Dimension of Trivariate Splines on Cells.- One Characterization of Lagrange Projectors.- Minimal versus Orthogonal Projections onto Hyperplanes in ln1 and lninfinity.- On Hermite Interpolation by Splines with Continuous Third Derivatives.- Best Polynomial Approximation on the Unit Sphere and the Unit Ball.- Support Vector Machines in Reproducing Kernel Hilbert Spaces versus Banach Spaces.