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

Lasha Ephremidze, Eugene Shargorodsky, Ilya Spitkovsky

Research output: Contribution to journalArticle

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 - Jan 1 2016

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Spectral Factorization
Logarithm
Analytic function
Correspondence
Non-negative
Scalar

Keywords

  • Convergence rate
  • Paley-Wiener condition
  • Spectral factorization

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Quantitative results on continuity of the spectral factorization mapping in the scalar case. / Ephremidze, Lasha; Shargorodsky, Eugene; Spitkovsky, Ilya.

In: Boletin de la Sociedad Matematica Mexicana, Vol. 22, No. 2, 01.01.2016, p. 517-527.

Research output: Contribution to journalArticle

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