The \(s\)-energy of spherical designs on \(S^{2}\)

DOI10.1007/S10444-007-9057-0zbMath1166.31003OpenAlexW2035407233MaRDI QIDQ1014871

Kerstin Hesse

Publication date: 29 April 2009

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-007-9057-0

zbMATH Keywords

spherical design\(s\)-energy

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Discrete potential theory (31C20) Numerical summation of series (65B10) Other transformations of harmonic type (42C20)

Related Items (6)

Discrepancy, separation and Riesz energy of finite point sets on the unit sphere ⋮ Upper bounds for energies of spherical codes of given cardinality and separation ⋮ Estimates for Logarithmic and Riesz Energies of Spherical t-Designs ⋮ Comparison of probabilistic and deterministic point sets on the sphere ⋮ Upper energy bounds for spherical designs of relatively small cardinalities ⋮ Well-separated spherical designs

Cites Work

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• Spherical faraday cage for the case of equal point charges and chebyshev-type quadrature on the sphere
• Existence of Solutions to Systems of Underdetermined Equations and Spherical Designs
• About the second term of the asymptotics for optimal Riesz energy on the sphere in the potential-theoretical case

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