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math.CA2008
Matrix differential equations and scalar polynomials satisfying higher order recursions
Antonio J. Duran, F. Alberto Grünbaum
We show that any scalar differential operator with a family of polyno- mials as its common eigenfunctions leads canonically to a matrix differen- tial operator with the same proper…
math.SP2008
The Darboux process and a noncommutative bispectral problem
F. Alberto Grünbaum
The Darboux process, also known by many other names, played a very important role in some extremely enjoyable joint work that Hans and I did 25 years ago. I revisit a version of th…