Abstract:
By a conformal pasting method we reduce the Carleman boundary-value problem
$$
\Phi^+[\alpha(t)]=G(t)\Phi^+(t)+g(t)
$$
with a nonconvergent shift $\alpha(t)$ ($\alpha[\alpha(t)]\not\equiv t$) to the problem
of finding all analytic functions which are simultaneously the solutions of two problems
on an open contour: the Riemann problem and the Hasemann problem. Using this reduction,
we obtain a theorem concerning the solvability of the stated problem.
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