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math.CA2012★ 12 cited
A hypergeometric function transform and matrix-valued orthogonal polynomials
Wolter Groenevelt, Erik Koelink
The spectral decomposition for an explicit second-order differential operator is determined. The spectrum consists of a continuous part with multiplicity two, a continuous part…
math.CA2012
Spectral decomposition and matrix-valued orthogonal polynomials
Wolter Groenevelt, Mourad E. H. Ismail, Erik Koelink
The relation between the spectral decomposition of a self-adjoint operator which is realizable as a higher order recurrence operator and matrix-valued orthogonal polynomials is inv…