Multivariate Approximation Theory IV -

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Résumé :
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Sommaire:
A Recursion Formula for the Dimension of Super Spline Spaces of Smoothness r and Degree d ** r2k.- Approximation with Barycentric Coordinates: The Hilbertian Case.- A Discrete Fourier Transform Scheme for Boolean Sums of Trigonometric Operators.- A Local Basis for Certain Smooth Bivariate PP Spaces.- Polynomial Ideals and Multivariate Splines.- Cardinal Interpolation with Radial Basis Functions: An Integral Transform Approach.- On the Evaluation of Multivariate Lagrange Formulae.- Asymptotically Optimal Sampling Schemes for Periodic Functions II: The Multivariate Case.- Generalized Bochner-Riesz Means of Fourier Integrals.- An Algorithm for Best Approximating Algebraic Polynomials in Lp over a Simplex.- Rational and Algebraic Approximation for Initial- and Boundary-Value-Problems.- R-th Order Blending Rectangle Rules.- A Trivariate Boolean Cubature Scheme.- Multivariate Band-Limited Functions: Sampling Representation and Approximation.- Multidimensional Irregular Sampling of Band-Limited Functions in Lp-Spaces.- L2-Synthesis by Ambiguity Functions.- Vector Spherical Spline Interpolation.- Simultaneous Approximation by Generalized n-th Order Blending Operators.- Some Results on Quadratic Splines of Three (and more) Variables.- On Iterates of Linear Variation Diminishing Operators and Characterization of Bernstein Type Polynomials.- Methoden der Fourier-Transformation bei der kardinalen Interpolation periodischer Daten.- Dual Bases Associated with Box Splines.- Some Pointwise Negative Results in Multivariate Approximation by Convolution Processes of Fej?r?s Type.- On Multidimensional Lebesgue-Stieltjes Convolution Operators.- The Singularity of Distance Matrices.- Cardinal Interpolation with Polyharmonic Splines.- Multivariate Rational Interpolation.- On the Role of the Exponential Eigen Splines in Translation Invariant Periodic Spline Spaces.- Uniform Closure of Tensor Product of Linear Subspaces.- On Periodic Hermite-Birkhoff Interpolation by Translation.- Problems and Results in the Calculation of Extremal Fundamental Systems for Sphere and Ball.- Bernstein Quasi-Interpolants on [0,1].- Elementary Holograms, Artificial Neural Networks, and Theta-Null Values.- Some Recent Results on Complex Interpolatory Approximation.- Index Transforms for Multidimensional Discrete Fourier Transforms.- Minimal Properties of Periodic Box-Spline Interpolation on a Three Direction Mesh.- Strong Uniform Approximation by Bochner-Riesz Means.