The spectral density of Hardy kernel matrices

Abstract

We consider infinite matrices obtained by restricting Hardy integral kernels to natural numbers. For a suitable class of Hardy kernels we describe the absolutely continuous spectrum, the essential spectrum and the asymptotic spectral density of these matrices.

References in corpus (4)

• Sharp norm estimates for composition operators and Hilbert-type inequalities
• The spectrum of some Hardy kernel matrices
• Multichannel scattering theory for Toeplitz operators with piecewise continuous symbols
• On spectral analysis of self-adjoint Toeplitz operators

Cited by in corpus (1)

• The spectrum of some Hardy kernel matrices