Matrix Gegenbauer polynomials: the \(2\times 2\) fundamental cases

DOI10.1007/S00365-015-9301-7zbMath1342.33025arXiv1309.6902OpenAlexW3083746731MaRDI QIDQ272905

Inés Pacharoni, Ignacio Nahuel Zurrián

Publication date: 21 April 2016

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

Full work available at URL: https://arxiv.org/abs/1309.6902

zbMATH Keywords

eigenfunctionsdifferential operatorsoperator algebramatrix orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Other special orthogonal polynomials and functions (33C47)

Related Items (8)

Matrix-valued orthogonal polynomials related to the quantum analogue of \((\mathrm{SU}(2) \times \mathrm{SU}(2), \text{diag})\) ⋮ The matrix Bochner problem ⋮ Matrix-valued Gegenbauer-type polynomials ⋮ Time and band limiting for matrix valued functions: an integral and a commuting differential operator ⋮ On spherical codes with inner products in a prescribed interval ⋮ ASYMPTOTIC LINEAR PROGRAMMING LOWER BOUNDS FOR THE ENERGY OF MINIMIZING RIESZ AND GAUSS CONFIGURATIONS ⋮ \(2 \times 2\) hypergeometric operators with diagonal eigenvalues ⋮ Structural formulas for matrix-valued orthogonal polynomials related to \(2\times 2\) hypergeometric operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Matrix-valued orthogonal polynomials related to \((\mathrm{SU}(2) \times \mathrm{SU}(2), \mathrm{diag})\). II
• Spherical functions of fundamental \(K\)-types associated with the \(n\)-dimensional sphere
• Spherical functions associated with the three-dimensional sphere
• Three term recursion relation for spherical functions associated to the complex projective plane
• Matrix valued orthogonal polynomials arising from the complex projective space
• A sequence of matrix valued orthogonal polynomials associated to spherical functions
• Matrix inner product having a matrix symmetric second-order differential operator
• Matrix valued Jacobi polynomials
• Matrix valued orthogonal polynomials of the Jacobi type
• Matrix valued spherical functions associated to the complex projective plane
• Matrix-valued Gegenbauer-type polynomials
• The algebra of differential operators associated to a weight matrix
• Structural formulas for orthogonal matrix polynomials satisfying second-order differential equations. I
• Matrix valued orthogonal polynomials of Jacobi type: the role of group representation theory.
• A matrix-valued solution to Bochner's problem
• Orthogonal matrix polynomials satisfying first order differential equations: a collection of instructive examples
• Matrix-Valued Orthogonal Polynomials Related to (SU(2)×SU(2), diag)
• On classical orthogonal polynomials and differential operators
• The algebra of differential operators associated to a family of matrix-valued orthogonal polynomials: Five instructive examples
• Fundamental aspects of the representation theory of Hermitian operators with deficiency index (𝑚,𝑚)

This page was built for publication: Matrix Gegenbauer polynomials: the \(2\times 2\) fundamental cases