Quantitative results on continuity of the spectral factorisation mapping
- Date: Wednesday 18 April 2018, 16:30 – 17:30
- Location: Mathematics Level 8, MALL 2, School of Mathematics
- Type: Analysis and Applications, Seminars, Pure Mathematics
- Cost: Free
Eugene Shargorodsky, King's College London. Part of the analysis and applications seminar series.
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 factorized (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.