Geodesic
Boundary-value problem of Сarleman with a noninvolutory shift
Matematičeskie zametki, Tome 14 (1973) no. 5, pp. 677-685 
A. V. Aizenshtat; V. A. Chernetskii. Boundary-value problem of Сarleman with a noninvolutory shift. Matematičeskie zametki, Tome 14 (1973) no. 5, pp. 677-685. http://geodesic.mathdoc.fr/item/MZM_1973_14_5_a7/
@article{MZM_1973_14_5_a7,
     author = {A. V. Aizenshtat and V. A. Chernetskii},
     title = {Boundary-value problem of {{\CYRS}arleman} with a noninvolutory shift},
     journal = {Matemati\v{c}eskie zametki},
     pages = {677--685},
     year = {1973},
     volume = {14},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_5_a7/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.