Matrix valued orthogonal polynomials of Jacobi type: the role of group representation theory
Copyright policy )Matrix valued orthogonal polynomials of Jacobi type: the role of group representation theory
The main purpose of this paper is to present new families of Jacobi type matrix valued orthogonal polynomials obtained from the underlying group S U ( n ) and its representations. These polynomials are eigenfunctions of some symmetric second order hypergeometric differential operator with matrix coefficients. The final result holds for arbitrary values of the parameters α , β > - 1 , but it is derived only for those values that come from the group theoretical setup.
- Joseph Fourier University France
- Institut Fourier France
- National University of Córdoba Argentina
- University of California, Berkeley United States
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), matrix valued orthogonal polynomials, symmetric spaces, Representations of Lie and linear algebraic groups over real fields: analytic methods
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), matrix valued orthogonal polynomials, symmetric spaces, Representations of Lie and linear algebraic groups over real fields: analytic methods
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