Equidistribution of Fekete points on the sphere

DOI10.1007/s00365-009-9051-5zbMath1203.41003arXiv0808.1202OpenAlexW2063359127MaRDI QIDQ607484

Joaquim Ortega-Cerdà, Jordi Marzo

Publication date: 22 November 2010

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.1202

zbMATH Keywords

spherespherical harmonicsFekete pointsasymptotic equidistributioninterpolating arrayMarcinkiewicz-Zygmund arraywell-distributed interpolation nodes

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Numerical quadrature and cubature formulas (65D32) Spherical harmonics (33C55) Well-distributed sequences and other variations (11K36)

Related Items

Necessary conditions for interpolation by multivariate polynomials, Density of Gabor systems via the short time Fourier transform, Discrepancy, separation and Riesz energy of finite point sets on the unit sphere, Marcinkiewicz-Zygmund inequalities and interpolation by spherical polynomials with respect to doubling weights, Fekete points and convergence towards equilibrium measures on complex manifolds, On generalized least power approximation, Equidistribution and $\beta$ ensembles, Beurling-Landau densities of weighted Fekete sets and correlation kernel estimates, Beurling-Landau's density on compact manifolds, Laplace Beltrami operator in the Baran metric and pluripotential equilibrium measure: the ball, the simplex, and the sphere, Marcinkiewicz-Zygmund inequalities for polynomials in Bergman and Hardy spaces, Tchakaloff polynomial meshes, Sampling, Marcinkiewicz-Zygmund inequalities, approximation, and quadrature rules, A facility location formulation for stable polynomials and elliptic Fekete points, Distributing many points on spheres: minimal energy and designs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic distribution and weak convergence on compact Riemannian manifolds
• On the spacing of Fekete points for a sphere, ball or simplex
• Extremal systems of points and numerical integration on the sphere
• Marcinkiewicz-Zygmund inequalities and interpolation by spherical harmonics
• On the Densest Packing of Spherical Caps