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, 𝑢(𝑥, 𝑡), to the heat equation in R𝑛 × (0, ∞)as 𝑡 → ∞. .- 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.