Quantitative results on continuity of the spectral factorization mapping

L. Ephremidze; E. Shargorodsky; I. Spitkovsky

doi:10.1112/jlms.12258

Quantitative results on continuity of the spectral factorization mapping

L. Ephremidze, E. Shargorodsky, I. Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English (US)
Pages (from-to)	60-81
Number of pages	22
Journal	Journal of the London Mathematical Society
Volume	101
Issue number	1
DOIs	https://doi.org/10.1112/jlms.12258
State	Published - Feb 1 2020

Keywords

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

ASJC Scopus subject areas

General Mathematics

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10.1112/jlms.12258

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abstract = "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.).",

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AU - Spitkovsky, I.

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AB - 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.).

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KW - 46E30

KW - 46E40 (secondary)

KW - 47A68 (primary)

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Quantitative results on continuity of the spectral factorization mapping

Abstract

Keywords

ASJC Scopus subject areas

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