Geodesic
Exponential-polynomial basis for null spaces of convolution operators in classes of ultradifferentiable functions
Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 4, pp. 3-17

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We consider a homogeneous convolution equation in the Beurling class of ultradifferentiable functions of mean type on the interval. It is obtained that in the space of its solutions there is an exponential-polynomial basis. 
@article{VMJ_2011_13_4_a0,
     author = {D. A. Abanina},
     title = {Exponential-polynomial basis for null spaces of convolution operators in classes of ultradifferentiable functions},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {3--17},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2011_13_4_a0/}
}
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D. A. Abanina. Exponential-polynomial basis for null spaces of convolution operators in classes of ultradifferentiable functions. Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 4, pp. 3-17. http://geodesic.mathdoc.fr/item/VMJ_2011_13_4_a0/