Geodesic
Summary equation for functions analytical outside a~quadrangle
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2016), pp. 3-7

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We investigate a four-element functional equation in a class of functions holomorphic outside a quadrangle and vanishing at infinity. We construct a system of entire functions of complete regular growth, which is biorthogonal to a power system on three rays with piecewise-exponential weight.
Keywords: equivalent regularization, moment problem for entire functions of exponential type.
Mots-clés : Carleman problem 
@article{IVM_2016_10_a0,
     author = {F. N. Garif'yanov},
     title = {Summary equation for functions analytical outside a~quadrangle},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--7},
     publisher = {mathdoc},
     number = {10},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_10_a0/}
}
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F. N. Garif'yanov. Summary equation for functions analytical outside a~quadrangle. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2016), pp. 3-7. http://geodesic.mathdoc.fr/item/IVM_2016_10_a0/