Geodesic
Jump boundary-value problem on a contour with elongate singularities
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2017), pp. 12-16

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Let $\Gamma$ be an image of the interval $(0,1)$ under one-to-one continuous mapping $\phi: (0,1)\to \mathbb{C}$. If the difference of closure of $\Gamma$ and the very set $\Gamma$ contains more than one point, then we say that $\Gamma$ is a contour with elongate singularities. We study the jump boundary-value problem for analytical functions on that contours and obtain new solvability criteria for it.
Keywords: jump problem, contour with singularities. 
@article{IVM_2017_1_a1,
     author = {B. A. Kats and S. R. Mironova and A. Yu. Pogodina},
     title = {Jump boundary-value problem on a contour with elongate singularities},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {12--16},
     publisher = {mathdoc},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_1_a1/}
}
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B. A. Kats; S. R. Mironova; A. Yu. Pogodina. Jump boundary-value problem on a contour with elongate singularities. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2017), pp. 12-16. http://geodesic.mathdoc.fr/item/IVM_2017_1_a1/