Recent Advances in Approximation and Potential Theory: In Honor of Edward Saff

by Dmitriy Bilyk (Editor), Emil Iacob (Editor), Andrei Martinez-Finkelshtein (Editor), Alexander Stokolos (Editor)

Overview

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.

Product Details

ISBN-13:	9783031955501
Publisher:	Springer Nature Switzerland
Publication date:	08/27/2025
Series:	Applied and Numerical Harmonic Analysis
Pages:	225
Product dimensions:	6.10(w) x 9.25(h) x 0.00(d)

Table of Contents

.- 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.