Geodesic
Spectral synthesis for an operator generated by multiplication by a~power of the independent variable
Sbornik. Mathematics, Tome 73 (1992) no. 1, pp. 211-229

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This paper is devoted to spectral synthesis of the operator adjoint to multiplication by a power of the independent variable in weighted spaces of entire functions of a single complex variable, and is closely connected with equations of convolution type, and with the general theory of subspaces invariant under a multiple differentiation operator. The problem of approximating solutions of a homogeneous equation of $q$-sided convolution type by elementary solutions is solved. Certain systems of such equations are investigated. 
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     author = {A. B. Shishkin},
     title = {Spectral synthesis for an operator generated by multiplication by a~power of the independent variable},
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A. B. Shishkin. Spectral synthesis for an operator generated by multiplication by a~power of the independent variable. Sbornik. Mathematics, Tome 73 (1992) no. 1, pp. 211-229. http://geodesic.mathdoc.fr/item/SM_1992_73_1_a11/