Orthogonal polynomials and cubature formulae on spheres and on simplices

DOI10.4310/MAA.1998.V5.N2.A5zbMath0913.33005OpenAlexW2670388660MaRDI QIDQ1268665

Yuan Xu

Publication date: 13 June 1999

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.1998.v5.n2.a5

zbMATH Keywords

orthogonal polynomialscubature formulae

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Spherical harmonics (33C55) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (11)

Remarks on Hilbert identities, isometric embeddings, and invariant cubature ⋮ Unnamed Item ⋮ Quadratic decomposition of bivariate orthogonal polynomials ⋮ Summability of orthogonal expansions of several variables. ⋮ Fully symmetric interpolatory rules for multiple integrals over hyper-spherical surfaces ⋮ Optimal cubature formulas in weighted Besov spaces with \(A _{\infty }\) weights on multivariate domains ⋮ Cubature formulae for spheres, simplices and balls. ⋮ On positive cubature rules on the simplex and isometric embeddings ⋮ Orthogonal polynomials and cubature formulae on balls, simplices, and spheres ⋮ Generalized Fourier transform on an arbitrary triangular domain ⋮ Monomial orthogonal polynomials of several variables

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