An Operator Approach to Pade Approximation
Document Type
Lecture
Publication Date
3-3-2014
Abstract
The goal of the talk is twofold. First, a survey of results on convergence of Pade approximants for rational perturbations of the Cauchy transform of a measure will be given. The main feature of the results is that they can be obtained by using spectral properties of the underlying band matrices. It should be stressed here that these band matrices turn out to be perturbations of the Jacobi matrices corresponding to the Cauchy transform of a positive measure. Second, an operator approach for multipoint Pade approximation to the Cauchy transform of a positive measure will be presented.
Relational Format
presentation
Recommended Citation
Derevyagin, Maksym, "An Operator Approach to Pade Approximation" (2014). Colloquium. 24.
https://egrove.olemiss.edu/math_colloquium/24
