Constructive Solutions to the Riemann--Hilbert Problem and Middle Convolution

2015/09/17 by Bibilo, Yulia, Filipuk, Galina
#32G13 #34A20 #34M50 #35Q15 #44A15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1509.05202

Abstract

In this paper we present a general scheme to generate constructive solutions to the Riemann--Hilbert problem via middle convolution and illustrate this approach for a Fuchsian system with four singular points.

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