Recent Advances in Approximation and Potential Theory

Ed Saff at 80: Career and Distinguished Scientific Contributions.- Exponential bases on modified domains.- Positive definite singular kernels on two-point homogeneous spaces.- H¨ormander and Bernhardsson's extremal function I.- Absolute Minima of Potentials of a Certain Class of Spherical Designs.- Logarithmic and Riesz Energy on the Sphere: Better Bounds via elementary Methods.- Energy of codes with forbidden distances in 48 dimensions.- Frequency-dependent stability for Gabor frames.- A nonnegative even kernel arising from extremal sine polynomials.- The number of real zeros of polynomials with constrained coefficients.- Approximate orthogonality, Bourgain's pinned distance theorem, and exponential frames.- Application of Sparse Grids to Approximation and Optimization.- Shape preserving approximation of periodic functions-A survey.- Spaces of trigonometric series and the Wiener algebra.- Variational Conditions on Extremal Orthonormal Polynomials for Restricted Measures.- Behavior of bounded solutions, ??(??, ??), to the heat equation in R?? × (0, 8)as ?? 8.- Weighted equilibrium and the flow of derivatives of polynomials.- A linear programming bound in a sign-alternating case.- Approximation by Fourier sums on the classes of generalized Poisson integrals.- On Linear Spaces with Ideal Complements.- On Analytic Functions with Taylor Coefficients Taken from a Finite Set.