Construction of spherical \(t\)-designs

DOI10.1007/BF00147866zbMath0765.05032OpenAlexW2033607067MaRDI QIDQ1199231

Bajnok, Béla

Publication date: 16 January 1993

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00147866

zbMATH Keywords

numerical integrationsurface measurespherical \(t\)-designs

Mathematics Subject Classification ID

Other designs, configurations (05B30) Integration on manifolds; measures on manifolds (58C35) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Affine analytic geometry (51N10)

Related Items

A new approach to the construction of optimal designs, New spherical \((2 s + 1)\)-designs from Kuperberg's set: an experimental result, Explicit spherical designs, Isometric embeddings and geometric designs, Spherical $t_\epsilon $-designs for approximations on the sphere, Extremal polynomials for obtaining bounds for spherical codes and designs, Low rank matrix recovery from rank one measurements, Optimal asymptotic bounds for spherical designs, Orbits of the hyperoctahedral group as Euclidean designs, Spherical designs and finite group representations (some results of E. Bannai)., New asymptotic estimates for spherical designs, Bounds for the number of nodes in Chebyshev type quadrature formulas, Well-separated spherical designs, Quadrature rules with neighborhood of spherical designs on the two-sphere, On the spectrum of Markov operators of spherical designs, A survey on spherical designs and algebraic combinatorics on spheres, On Euclidean designs