Asymptotic formulas for determinants of a sum of finite Toeplitz and Hankel matrices
Estelle L. Basor, Torsten Ehrhardt
Abstract
The purpose of this paper is to describe asymptotic formulas for determinants of a sum of finite Toeplitz and Hankel matrices with singular generating functions. The formulas are similar to those of the analogous problem for finite Toeplitz matrices for a certain class of symbols. However, the appearance of the Hankel matrices changes the nature of the asymptotics in some instances depending on the location of the singularities. Several concrete examples are also described in the paper.
Create a lesson
Related papers
Every compact operator is a commutator of compact operators
Zhichao Liu
Normal-Direction Energy and Fourier Restriction for Convex Planar Curves
Vicente Vergara
Zero-product problem for Toeplitz operators on the Fock space
Jie Qin
The best Musielak-Orlicz approximation by linear subspaces
Juan Costa Ponce, Sergio Favier, Fabián Levis
Lévy measures for Dirichlet-type spaces on the unit bidisc
Santu Bera, Shanola S. Sequeira
Quantum expanders and dimension-free commutator bounds
Tuan Tran