On Euclidean designs

DOI10.1515/ADVGEOM.2006.026zbMath1121.05022arXiv1512.02981MaRDI QIDQ3431471

Bajnok, Béla

Publication date: 10 April 2007

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02981

zbMATH Keywords

spherical designharmonic polynomialGauss-Jacobi quadraturetight designEuclidean design

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other designs, configurations (05B30) Approximate quadratures (41A55) General block designs in finite geometry (51E05)

Related Items (10)

On the strong non-rigidity of certain tight Euclidean designs ⋮ A new Euclidean tight 6-design ⋮ Inside s-inner product sets and Euclidean designs ⋮ Euclidean designs obtained from spherical embedding of coherent configurations ⋮ On antipodal Euclidean tight \((2e+1)\)-designs ⋮ Reproducing kernels for the irreducible components of polynomial spaces on unions of Grassmannians ⋮ Cubature formulas in numerical analysis and Euclidean tight designs ⋮ New examples of Euclidean tight 4-designs ⋮ On almost tight Euclidean designs for rotationally symmetric integrals ⋮ A survey on spherical designs and algebraic combinatorics on spheres

Cites Work

• An upper bound for the cardinality of an s-distance subset in real Euclidean space. II
• Averaging sets: A generalization of mean values and spherical designs
• Fisher type inequalities for Euclidean t-designs
• Construction of spherical \(t\)-designs
• Spherical codes and designs
• Tight spherical designs. I
• Chebyshev-type quadrature on multidimensional domains
• Isometric embeddings and geometric designs
• Chebyshev-type quadrature for Jacobi weight functions
• Tight Spherical Disigns, II
• The nonexistence of certain tight spherical designs

This page was built for publication: On Euclidean designs