The Analytic Theory of Matrix Orthogonal Polynomials

By David Damanik, Alexander Pushnitski, Barry Simon. 2007

238 citations recorded by the source corpus.

We survey the analytic theory of matrix orthogonal polynomials. MSC: 42C05, 47B36, 30C10 keywords: orthogonal polynomials, matrix-valued measures, block Jacobi matrices, block CMV matrices

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6fd6d3b546783b6273626446fee07d9c283af542

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In Applied Mathematics

1. Barry Simon
2. David Damanik
3. Doron S. Lubinsky
4. N. H. Bingham
5. Alexander Pushnitski
6. David Damanik
7. Vilmos Totik
8. Rowan Killip

In Computational Theory and Mathematics

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

In Mathematical Physics

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

Citations in the corpus

• The Christoffel-Darboux Kernel (2008, background): “ed points of σ(dµ). 5. The CD Kernel and Formula for MOPs Given an ℓ ×ℓ matrix-valued measure, there is a rich structure of matrix OPs (MOPRL and MOPUC). A huge literature is surveyed and extended in [27]. In particular, the CD kernel and CD formula for MORL are discussed in Sections 2.6 and 2.7, an”