Geodesic
On functional equations related to a~dihedral group
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2014), pp. 33-41

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We propose a method for regularization of two three-element functional equations generated by a special case of dihedral group of rotations. These results are applied to the moment problem for entire functions of exponential type and for evaluation of biorthogonally dual systems of analytic functions.
Keywords: regularization, Carleman boundary-value problem, problem on moments. 
@article{IVM_2014_11_a3,
     author = {F. N. Garifyanov and A. F. Garifyanov},
     title = {On functional equations related to a~dihedral group},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {33--41},
     publisher = {mathdoc},
     number = {11},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_11_a3/}
}
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F. N. Garifyanov; A. F. Garifyanov. On functional equations related to a~dihedral group. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2014), pp. 33-41. http://geodesic.mathdoc.fr/item/IVM_2014_11_a3/