Factorization, Riemann-Hilbert problems and the corona problem
Functional Analysis
2011-03-11 v1 Complex Variables
Abstract
The solvability of the Riemann-Hilbert boundary value problem on the real line is described in the case when its matrix coefficient admits a Wiener-Hopf type factorization with bounded outer factors but rather general diagonal elements of its middle factor. This covers, in particular, the almost periodic setting. Connections with the corona problem are discussed. Based on those, constructive factorization criteria are derived for several types of triangular 2-by-2 matrices.
Cite
@article{arxiv.1103.1935,
title = {Factorization, Riemann-Hilbert problems and the corona problem},
author = {M. C. Camara and C. Diogo and Yu. I. Karlovich and I. M. Spitkovsky},
journal= {arXiv preprint arXiv:1103.1935},
year = {2011}
}
Comments
32 pages