Quantitative results on continuity of the spectral factorization mapping in the scalar case

Lasha Ephremidze, Eugene Shargorodsky, Ilya Spitkovsky

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)517-527
Number of pages11
JournalBoletin de la Sociedad Matematica Mexicana
Volume22
Issue number2
DOIs
StatePublished - Oct 2016

Keywords

  • Convergence rate
  • Paley-Wiener condition
  • Spectral factorization

ASJC Scopus subject areas

  • Mathematics(all)

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