The Algebra of Differential Operators Associated to a Weight Matrix

By F. Alberto Grünbaum, J. Tirao. 2007

95 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5c8c42fd77fab82bcacc9483b4994348631d48ea

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In Algebra and Number Theory

1. Barry Simon
2. Alexander Pushnitski
3. David Damanik

In Computational Theory and Mathematics

1. David Damanik
2. Alexander Pushnitski
3. Barry Simon
4. Doron S. Lubinsky
5. Vilmos Totik

In Statistical and Nonlinear Physics

1. Alexander Pushnitski
2. David Damanik
3. Barry Simon
4. David Damanik

Citations in the corpus

• Matrix Valued Orthogonal Polynomials related to (SU(2) x SU(2),diag) (2010, unknown): “The main theorem in [19] says that for any D ∈ D there exists a unique differential operator D∗ ∈ D(W ), the adjoint of D, such that 〈PD,Q〉 = 〈P,QD∗〉 for all P,Q ∈ MatN (C)[x].”
• 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,”