English

The spectral density of Hardy kernel matrices

Functional Analysis 2021-03-24 v1 Spectral Theory

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.

Keywords

Cite

@article{arxiv.2103.12642,
  title  = {The spectral density of Hardy kernel matrices},
  author = {Alexander Pushnitski},
  journal= {arXiv preprint arXiv:2103.12642},
  year   = {2021}
}
R2 v1 2026-06-24T00:28:46.881Z