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This article is cited in 5 scientific papers (total in 5 papers)
On the Continuous Linear Right Inverse for Convolution Operators in Spaces of Ultradifferentiable Functions
D. A. Polyakovaab a Southern Federal University, Rostov-on-Don
b South Mathematical Institute of VSC RAS
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 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.
Received: 20.11.2013
Citation:
D. A. Polyakova, “On the Continuous Linear Right Inverse for Convolution Operators in Spaces of Ultradifferentiable Functions”, Mat. Zametki, 96:4 (2014), 548–566; Math. Notes, 96:4 (2014), 522–537
Linking options:
https://www.mathnet.ru/eng/mzm9688https://doi.org/10.4213/mzm9688 https://www.mathnet.ru/eng/mzm/v96/i4/p548
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Abstract page: | 472 | Full-text PDF : | 183 | References: | 82 | First page: | 32 |
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