Over the course of his distinguished career, Edward Saff has made a number of groundbreaking contributions in the fields of approximation theory, potential theory, and complex analysis. The chapters in this volume – compiled on the occasion of his 80th birthday – are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
.- 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 Bernhardssons 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, Bourgains pinned distance theorem, and
exponential frames.
.- Application of Sparse Grids to Approximation and Optimization.
.- Shape preserving approximation of periodic functionsA 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.
