Recent Advances in Approximation and Potential Theory : In Honor of Edward Saff (Applied and Numerical Harmonic Analysis)

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Recent Advances in Approximation and Potential Theory : In Honor of Edward Saff (Applied and Numerical Harmonic Analysis)

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  • 製本 Hardcover:ハードカバー版/ページ数 225 p.
  • 言語 ENG
  • 商品コード 9783031955501

Full Description

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.

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, 푢(푥, 푡), to the heat equation in R푛 x (0, ∞)as 푡 → ∞.

.- 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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