English

A Formula for Inserting Point Masses

Classical Analysis and ODEs 2010-09-10 v1 Mathematical Physics math.MP Spectral Theory

Abstract

Let mu be a probability measure on the unit circle and nu be the measure formed by adding a pure point to mu. We give a formula for the Verblunsky coefficients of the perturbed measure, based on a result of Simon.

Keywords

Cite

@article{arxiv.1009.1641,
  title  = {A Formula for Inserting Point Masses},
  author = {Manwah Lilian Wong},
  journal= {arXiv preprint arXiv:1009.1641},
  year   = {2010}
}
R2 v1 2026-06-21T16:11:22.593Z