Geodesic
On the Continuous Linear Right Inverse for Convolution Operators in Spaces of Ultradifferentiable Functions
Matematičeskie zametki, Tome 96 (2014) no. 4, pp. 548-566.

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A surjective convolution operator is considered in spaces of complex-valued Beurling ultradifferentiable functions of normal type on a finite interval. A complete description of characteristic functions for which this operator has a continuous linear right inverse is obtained. The finite- and infinite-order differential operators with constant coefficients are studied as a special case.
Keywords: convolution operator, continuous linear right inverse (CLRI), Beurling ultradifferentiable function. 
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D. A. Polyakova. On the Continuous Linear Right Inverse for Convolution Operators in Spaces of Ultradifferentiable Functions. Matematičeskie zametki, Tome 96 (2014) no. 4, pp. 548-566. http://geodesic.mathdoc.fr/item/MZM_2014_96_4_a6/

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