Author | Chui, C. K. author |
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Title | Multivariate Approximation Theory IV [electronic resource] : Proceedings of the Conference at the Mathematical Research Institute at Oberwolfach, Black Forest, February 12-18, 1989 / by C. K. Chui, W. Schempp, K. Zeller |
Imprint | Basel : Birkhรคuser Basel, 1989 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7298-0 |
Descript | IX, 342 p. online resource |
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 Fejรฉrโs 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