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.
Eugene Shargorodsky, King's College London.
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.