Continuous and discrete tight frames of orthogonal polynomials for a radially symmetric weight

DOI10.1007/s00365-008-9021-3zbMath1180.33011OpenAlexW1973726364MaRDI QIDQ836078

Shayne F. D. Waldron

Publication date: 31 August 2009

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

Full work available at URL: https://doi.org/10.1007/s00365-008-9021-3

zbMATH Keywords

tight framesspherical harmonicsJacobi polynomialsrepresentation theoryGegenbauer polynomialsHermite polynomialsLaguerre polynomialsharmonic functionsLegendre polynomialsultraspherical polynomialsmultivariate orthogonal polynomialscubature on the spherezonal harmonicsquadrature for trigonometric polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General harmonic expansions, frames (42C15) Representation theory of lattices (06B15) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)

Related Items (3)

On the construction of highly symmetric tight frames and complex polytopes ⋮ The symmetry group of a finite frame ⋮ Stability properties of disk polynomials

Cites Work

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