Orthogonal matrix polynomials

By Antonio J. Durán Guardeño, P. L. Rodríguez. 2004

65 citations recorded by the source corpus.

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Matrix Valued Orthogonal Polynomials related to (SU(2) x SU(2),diag) (2010, background): “Matrix-valued orthogonal polynomials arose in the work of Krein [27], [28] and have been studied from an analytic point of view by Durán and others, see [7], [8], [9], [10], [11] and references given there.”
Matrix-J-unitary Non-commutative Rational Formal Power Series (2004, methodology): “These classes of rational functions were studied in [7] and [6] using the theory of realizations of rational matrix-valued functions, and in [4] using the theory of reproducing kernel Pontryagin spaces.”
The Analytic Theory of Matrix Orthogonal Polynomials (2007, methodology): “The corresponding real line theory (MOPRL) is still more recent: Following early work of Krein [133] and Berezan’ski [9] on block Jacobi matrices, mainly as applied to self-adjoint extensions, there was a seminal paper of Aptekarev–Nikishin [4] and a flurry of papers since the 1990s [10, 11, 12, 14,”
Special matrix functions: characteristics, achievements and future directions (2018, background): “[36] and in the survey on orthogonal matrix polynomials by Rodman [62].”
Orthogonal polynomials (2005, unknown): “For all the results in this section see López-Rodriguez–Durán [48] and Durán– Grünbaum [25] and the numerous references there.”