The Analytic Theory of Matrix Orthogonal Polynomials
David Damanik (Rice), Alexander Pushnitski (King's College), Barry, Simon (Caltech)
TL;DR
This paper surveys the analytic theory of matrix orthogonal polynomials, providing an overview of their properties, applications, and mathematical framework in a comprehensive manner.
Contribution
It offers a systematic overview of the analytic aspects of matrix orthogonal polynomials, highlighting recent developments and key theoretical results.
Findings
Summarizes key properties of matrix orthogonal polynomials
Highlights applications in mathematical physics and approximation theory
Provides a unified framework for the analytic theory
Abstract
We give a survey of the analytic theory of matrix orthogonal polynomials.
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Taxonomy
TopicsMatrix Theory and Algorithms · Mathematical functions and polynomials · Spectral Theory in Mathematical Physics