On the Riemann-Hilbert Problems

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dc.creatorGiorgadze, Gia
dc.date1998-04-07
dc.date.accessioned2026-07-07T05:24:20Z
dc.date.available2026-07-07T05:24:20Z
dc.descriptionWe discuss some topological aspects of the Riemann-Hilbert transmission problem and Riemann-Hilbert monodromy problem on Riemann surfaces. In particular, we describe the construction of a holomorphic vector bundle starting from the given representation of the fundamental group and investigate the local behaviour of connexions on this bundle. We give formulae for the partial indices of the Riemann-Hilbert transmission problem in the three-dimensional case in terms of the correspoding vector bundle on the Riemann sphere.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/math/9804035
dc.identifierhttp://arxiv.org/abs/math/9804035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76800
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject30F10
dc.titleOn the Riemann-Hilbert Problems
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