Approximation Theory XIV: San Antonio 2013

Chapter 1 Isogeometric Method for the Elliptic Monge-Ampère Equation

Chapter 2 Dual Compatible Splines on Nontensor Product Meshes

Chapter 3 Multivariate Anisotropic Interpolation on the Torus

Chapter 4 A Generalized Class of Hard Thresholding Algorithms for Sparse Signal Recovery

Chapter 5 On a New Proximity Condition for Manifold-Valued Subdivision Schemes

Chapter 6 Wachspress and Mean Value Coordinates

Chapter 7 Hermite and Bernstein Style Basis Functions for Cubic Serendipity Spaces on Squares and Cubes

Chapter 8 Suitability of Parametric Shepard Interpolation for Nonrigid Image Registration

Chapter 9 Parabolic Molecules: Curvelets, Shearlets, and Beyond

Chapter 10 Microlocal Analysis of Singularities from Directional Multiscale Representations

Chapter 11 Barycentric Interpolation

Chapter 12 Numerical Determination of Extremal Points and Asymptotic Order of Discrete Minimal Riesz Energy for Regular Compact Sets

Chapter 13 Eigenvalue Sequences of Positive Integral Operators and Moduli of Smoothness

Chapter 14 Reconstructing Multivariate Trigonometric Polynomials from Samples Along Rank-1 Lattices

Chapter 15 On Nondegenerate Rational Approximation

Chapter 16 Multivariate $$C^1$$ C 1 -Continuous Splines on the Alfeld Split of a Simplex

Chapter 17 On Convergence of Singular Integral Operators with Radial Kernels

Chapter 18 Lower Bound on the Dimension of Trivariate Splines on Cells

Chapter 19 One Characterization of Lagrange Projectors

Chapter 20 Minimal Versus Orthogonal Projections onto Hyperplanes in $$\ell _1^{n}$$ ℓ 1 n and $$\ell _{\infty }^{n}$$ ℓ ∞ n

Chapter 21 On Hermite Interpolation by Splines with Continuous Third Derivatives

Chapter 22 Best Polynomial Approximation on the Unit Sphere and the Unit Ball

Chapter 23 Support Vector Machines in Reproducing Kernel Hilbert Spaces Versus Banach Spaces