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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 $H2$ under the additional assumption of uniform integrability of the logarithms of the spectral densities to be factorised (S. Barclay; G. Janashia, E. 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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