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Vladikavkazskii Matematicheskii Zhurnal, 2011, Volume 13, Number 4, Pages 3–17 (Mi vmj397)  
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
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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
Document Type: Article
UDC: 517.983+517.518.34
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Pol11}
\by D.~A.~Abanina
\paper Exponential-polynomial basis for null spaces of convolution operators in classes of ultradifferentiable functions
\jour Vladikavkaz. Mat. Zh.
\yr 2011
\vol 13
\issue 4
\pages 3--17
\mathnet{http://mi.mathnet.ru/vmj397}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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