Factorization, Riemann-Hilbert problems and the corona problem

Autor:	Camara, M. C., Diogo, C., Karlovich, Yu. I., Spitkovsky, I. M.
Rok vydání:	2011
Předmět:	Mathematics - Functional Analysis Mathematics - Complex Variables 47A68 42A75 47B35
Druh dokumentu:	Working Paper
Popis:	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. Comment: 32 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1103.1935 Zobrazit plný text záznamu View this record from Arxiv