Description: |
We study the solvability of scalar Riemann-Hilbert problems relative to a contour on a torus which are equivalent to some matrix Riemann-Hilbert problems in the complex plane. With this purpose a new concept of meromorphic factorization in the torus is introduced and discussed. The results are applied to solve matrix Riemann-Hilbert problems and study some properties of a class of Toeplitz operators with 2 x 2 matrix symbols.
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