Geodesic
A problem on a~jump on a~contour with limit continuum
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2015), pp. 70-75

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We obtain a condition of resolvablity of boundary-value problem on restoring holomorphic function by a given jump on a contour with limit continuum. An example of such contour is a graph of the function $y=\sin\frac\pi x$, $0$, whose limit continuum is a segment $[-i,i]$ of imaginary axis.
Keywords: contour with limit continuum, analytic function, the jump boundary value problem. 
@article{IVM_2015_2_a7,
     author = {B. A. Kats and S. R. Mironova and A. Yu. Pogodina},
     title = {A problem on a~jump on a~contour with limit continuum},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {70--75},
     publisher = {mathdoc},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_2_a7/}
}
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B. A. Kats; S. R. Mironova; A. Yu. Pogodina. A problem on a~jump on a~contour with limit continuum. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2015), pp. 70-75. http://geodesic.mathdoc.fr/item/IVM_2015_2_a7/