Geodesic
Interpolation in a generalized strip
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 28, Tome 270 (2000), pp. 124-174

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It is shown that the description of interpolation sets for analytic Hölder classes in a standard strip can be carried over entirely to the generalized strip, i.e., to the subset of the standard strip bounded by two Lavrent'ev curves. To do this, some geometric properties of a generalized strip are established, namely, it is shown that a generalized strip can be extended accross the arcs of an interpolation set on the boundary, and that it decomposes in Lavrent'ev domains. 
@article{ZNSL_2000_270_a6,
     author = {A. M. Kotochigov},
     title = {Interpolation in a generalized strip},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {124--174},
     publisher = {mathdoc},
     volume = {270},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_270_a6/}
}
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A. M. Kotochigov. Interpolation in a generalized strip. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 28, Tome 270 (2000), pp. 124-174. http://geodesic.mathdoc.fr/item/ZNSL_2000_270_a6/