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.
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