Geodesic
Regularization of linear difference equations with analytic coefficients and their applications
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2011), pp. 78-83

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We propose a regularization method for four-element linear difference equations with analytic coefficients. We study these equations in the class of functions which are holomorphic in the complex plane with a cruciform cut and vanish at infinity. We give several examples illustrating the dependence of the solvability properties of equations on the choice of periodic coefficients. We describe various applications.
Keywords: difference equations, regularization method, moments of entire functions.
Mots-clés : Carleman problem 
@article{IVM_2011_11_a8,
     author = {F. N. Garif'yanov and E. V. Nasyrova},
     title = {Regularization of linear difference equations with analytic coefficients and their applications},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {78--83},
     publisher = {mathdoc},
     number = {11},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_11_a8/}
}
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F. N. Garif'yanov; E. V. Nasyrova. Regularization of linear difference equations with analytic coefficients and their applications. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2011), pp. 78-83. http://geodesic.mathdoc.fr/item/IVM_2011_11_a8/