@article{1496f18c41344d168884f0c8b14a0876,
title = "Quantitative results on continuity of the spectral factorization mapping in the scalar case",
abstract = "In the scalar case, the spectral factorization mapping f → f+ puts a nonnegative integrable function f having an integrable logarithm in correspondence with an outer analytic function f+ such that f = |f+|2 is almost everywhere. The main question addressed here is to what extent ||f+-g+||H2 is controlled by || f-g ||L1 and || log f - log g||L1.",
keywords = "Convergence rate, Paley-Wiener condition, Spectral factorization",
author = "Lasha Ephremidze and Eugene Shargorodsky and Ilya Spitkovsky",
note = "Funding Information: Lasha Ephremidze was partially supported by the Shota Rustaveli National Science Foundation Grant (Contract Numbers: 31/47) and Ilya Spitkovsky was supported in part by Faculty Research funding from the Division of Science and Mathematics, New York University Abu Dhabi, and by Plumeri Award for Faculty Excellence from the College of William and Mary. Publisher Copyright: {\textcopyright} 2016 Sociedad Matem{\'a}tica Mexicana.",
year = "2016",
month = oct,
doi = "10.1007/s40590-016-0117-7",
language = "English (US)",
volume = "22",
pages = "517--527",
journal = "Boletin de la Sociedad Matematica Mexicana",
issn = "1405-213X",
publisher = "Sociedad Matematica Mexicana",
number = "2",
}