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Quantitative results on continuity of the spectral factorisation mapping

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WHTW01 - Factorisation of matrix functions: New techniques and applications

It is well known that
the matrix spectral factorisation mapping is continuous from the
Lebesgue space $L1$ to the Hardy space
2$ under the additional assumption of uniform integrability of the
logarithms of the spectral densities to be factorised (S. Barclay; G. Janashia,

Lagvilava, and L. Ephremidze). The talk will report on a
joint project with Lasha Epremidze and Ilya Spitkovsky, which aims at obtaining
quantitative results characterising this continuity.

This talk is part of the Isaac Newton Institute Seminar Series series.

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