Matrix Valued Orthogonal Polynomials Arising from the Complex Projective Space

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Second-Order Differential Operators Having Several Families of Orthogonal Matrix Polynomials as Eigenfunctions (2007, unknown): “ we can proceed as in the previous example applying Lemma 2.1 in the strip {z ∈ C: |ℑz| < 1}. 3.3 Anexample supported in (0,1) The following weight matrix is a modiﬁcation of the one introduced in [PT]: Wα,β,k(t) = tα(1 −t)β kt2 +β −k +1 (β −k +1)(1 −t) (β −k +1)(1 −t) (β −k +1)(1 −t)2 , t ∈ (0”
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,”