Quantitative results on continuity of the spectral factorization mapping

L. Ephremidze, E. Shargorodsky, I. Spitkovsky

Research output: Contribution to journalArticlepeer-review


The spectral factorization mapping (Formula presented.) puts a positive definite integrable matrix function (Formula presented.) having an integrable logarithm of the determinant in correspondence with an outer analytic matrix function (Formula presented.) such that (Formula presented.) almost everywhere. The main question addressed here is to what extent (Formula presented.) is controlled by (Formula presented.) and (Formula presented.).

Original languageEnglish (US)
Pages (from-to)60-81
Number of pages22
JournalJournal of the London Mathematical Society
Issue number1
StatePublished - Feb 1 2020


  • 30D99
  • 46E30
  • 46E40 (secondary)
  • 47A68 (primary)

ASJC Scopus subject areas

  • General Mathematics


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