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On the Riemann-Hilbert-Problem

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Visit this site: http://www.gang.umass.edu/~kilian/mathesis/mathesis.html
Author:Martin Kilian
Description: A thesis, first investigating the relation between the factorisation of scalar functions and the theory of singular integral equations as far as they are relevant to boundary value problems for holomorphic functions, then exploring the formula of Sokhotski-Plemelj; the Riemann-problem; Factorisation of matrix valued functions; Diagonalisation; Spectral theory of polynomial matrices; Rational matrices; The partial indices; The Matrix-Riemann-problem; Linear differential equations; and The Dressing method. With a bibliography.
Levels: College, Research
Languages: English
Math Topics: Several Complex Vars./Analytic Spaces, Differential Equations

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