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Quantitative results on continuity of the spectral factorisation mapping

Presented by: 
Eugene Shargorodsky King's College London
Date: 
Monday 12th August 2019 - 11:30 to 12:30
Venue: 
INI Seminar Room 1
Abstract: 

It is well known that  the matrix spectral factorisation mapping is continuous from the Lebesgue space $L^1$ to  the Hardy space $H^2$ 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.

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons