Matrix valued orthogonal polynomials of the Jacobi type

By F. A. Grünbaurn, Inés Pacharoni, J. Tirao. 2003

113 citations recorded by the source corpus.

Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/de569d936bfca18a6766ffcf720c3fea003ed3d1

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In Applied Mathematics

1. David Damanik
2. Alexander Pushnitski
3. Barry Simon
4. M. Castro
5. A. J. Durán
6. F. Alberto Grünbaum
7. Manuel D. de la Iglesia
8. J. Tirao

In Atomic and Molecular Physics, and Optics

1. F. Alberto Grünbaum
2. A. J. Durán
3. M. Castro
4. Barry Simon
5. Alexander Pushnitski
6. David Damanik

In Computational Theory and Mathematics

1. David Damanik
2. Alexander Pushnitski
3. Barry Simon
4. F. Alberto Grünbaum
5. M. Castro
6. A. J. Durán
7. Manuel D. de la Iglesia
8. J. Tirao

Citations in the corpus

• The Analytic Theory of Matrix Orthogonal Polynomials (2007, methodology): “rk 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, 16, 17, 19, 20, 21, 22, 29, 35, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56,”
• A survey on orthogonal matrix polynomials satisfying second order differential equations (2005, methodology): “We observe, however, that in [34] one finds a notion of similarity for the pair consisting of the weight and the differential operator.”
• Second-Order Differential Operators Having Several Families of Orthogonal Matrix Polynomials as Eigenfunctions (2007, result): “account the boundary conditions (2.3)). ✷ In particular, the symmetry equations (2.4) for differential operatorsof order two appeared for the first time in [D1] when F 0W = WF∗ 0 and later in [DG1] and [GPT2]. As we remarked in the Introduction, most of the examples which appeared in the last years ha”
• Orthogonal matrix polynomials satisfying first order differential equations: a collection of instructive examples (2005, methodology): “Research Notices, 2004 : 10 (2004), 461–484) and [15] (Matrix valued orthogonal polynomials of the Jacobi type, Indag.”
• The Algebra of Differential Operators Associated to a Weight Matrix (2007, background): “Therefore one has, modulo the difficult task of explicitly solving the equations in [8] and [ 16 ], a way of getting S(W ).”