Geodesic
The Keldysh--Sedov problem for functions holomorphic in a~bi-halfplane
Matematičeskie zametki, Tome 19 (1976) no. 5, pp. 681-690.

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We pose and solve the Keldysh–Sedov problem: determine a function holomorphic in a bi-halfplane where its real and imaginary parts are given on mutually nonintersecting rectangles which exhaust the plane and which are the frame of the boundary of the bi-halfplane. Necessary and sufficient conditions for this problem to be solvable are given. 
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     author = {V. A. Kakichev and Le-din' Zon},
     title = {The {Keldysh--Sedov} problem for functions holomorphic in a~bi-halfplane},
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V. A. Kakichev; Le-din' Zon. The Keldysh--Sedov problem for functions holomorphic in a~bi-halfplane. Matematičeskie zametki, Tome 19 (1976) no. 5, pp. 681-690. http://geodesic.mathdoc.fr/item/MZM_1976_19_5_a2/