Reduction of vector boundary value problems on Riemann surfaces to one-dimensional problems

DOI10.1134/S0037446619010178zbMath1422.30066OpenAlexW2936699295MaRDI QIDQ2002492

Evgeniĭ Venyaminovich Semenko

Publication date: 12 July 2019

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446619010178

zbMATH Keywords

holomorphic vector bundleRiemann surfaceadjoint problemcompanion problemvector conjugation boundary value problem

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Boundary value problems in the complex plane (30E25)

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Cites Work

• Prym differentials as solutions to boundary value problems on Riemann surfaces
• Connection between holomorphic vector bundles and cohomology on a Riemann surface and conjugation boundary value problems
• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
• Classification of vector bundles over an algebraic curve of arbitrary genus
• On the classification of 𝑛-dimensional vector-bundles over an algebraic curve of arbitrary genus
• Boundary value problems in the theory of analytic functions in Hölder classes on Riemann surfaces
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