Geodesic
Division theorem in some weighted spaces of entire functions
Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 3, pp. 3-20

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We consider weighted spaces of entire functions which are dual to the Beurling spaces of ultradifferentiable functions of mean type. We prove a division theorem, which completely characterizes all divisors of these spaces. With the help of this theorem, we obtain a criterion for the solvability of convolution equations in the Beurling classes of mean type. 
@article{VMJ_2010_12_3_a0,
     author = {A. V. Abanin and D. A. Abanina},
     title = {Division theorem in some weighted spaces of entire functions},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {3--20},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2010_12_3_a0/}
}
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A. V. Abanin; D. A. Abanina. Division theorem in some weighted spaces of entire functions. Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 3, pp. 3-20. http://geodesic.mathdoc.fr/item/VMJ_2010_12_3_a0/