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Vladikavkazskii Matematicheskii Zhurnal, 2011, Volume 13, Number 4, Pages 3–17
(Mi vmj397)
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This article is cited in 5 scientific papers (total in 5 papers)
Exponential-polynomial basis for null spaces of convolution operators in classes of ultradifferentiable functions
D. A. Abaninaab a Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences, Rostov-on-Don, Russia
b South Mathematical Institute of VSC RAS, Vladikavkaz, Russia
Abstract:
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.
Key words:
ultradifferentiable functions, convolution equation, exponential-polynomial basis.
Received: 07.07.2011
Citation:
D. A. Abanina, “Exponential-polynomial basis for null spaces of convolution operators in classes of ultradifferentiable functions”, Vladikavkaz. Mat. Zh., 13:4 (2011), 3–17
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https://www.mathnet.ru/eng/vmj397 https://www.mathnet.ru/eng/vmj/v13/i4/p3
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Abstract page: | 423 | Full-text PDF : | 112 | References: | 65 | First page: | 1 |
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