On the continuous linear right inverse for convolution operators in spaces of ultradifferentiable functions |
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| Authors: | D. A. Polyakova |
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| Affiliation: | 1. Southern Federal University, Rostov-on-Don, Russia
2. Southern Mathematical Institute, Vladikavkaz Scientific Center, Russian Academy of Sciences and Republic of North Ossetia-Alania, Vladikavkaz, Russia
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| Abstract: | 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 finiteand infinite-order differential operators with constant coefficients are studied as a special case. |
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