Geodesic
On summary equation generated by a quadrangle
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2018), pp. 27-33

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We investigate a four-element functional equation in a class of solutions holomorphic outside a quadrangle and vanishing at infinity. We propose equivalent regularization method of such quadrangles. We construct examples with only single condition of solvability for such equation. We show applications to moments problem for entire functions of exponential type.
Keywords: equivalent regularization, Carleman boundary-value problem, moments of entire functions. 
@article{IVM_2018_1_a3,
     author = {F. N. Garif'yanov},
     title = {On summary equation generated by a quadrangle},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {27--33},
     publisher = {mathdoc},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_1_a3/}
}
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F. N. Garif'yanov. On summary equation generated by a quadrangle. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2018), pp. 27-33. http://geodesic.mathdoc.fr/item/IVM_2018_1_a3/