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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 3, Pages 477–494 (Mi smj2340)  
This article is cited in 11 scientific papers (total in 11 papers)

Solvability of convolution equations in the Beurling spaces of ultradifferentiable functions of mean type on an interval

D. A. Abaninaab

a Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences, Rostov-on-Don
b South Mathematical Institute of VSC RAS, Vladikavkaz
Full-text PDF (356 kB) Citations (11)
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Abstract: We establish a solvability criterion for convolution equations in the Beurling classes of ultradifferentiable functions of mean type on an interval. Under study is also the question of degeneration of convolution equations into infinite-order equations with constant coefficients.
Keywords: ultradifferentiable functions, convolution equation, division theorem.
Received: 15.06.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 3, Pages 377–392
DOI: https://doi.org/10.1134/S0037446612020206
Bibliographic databases:
Document Type: Article
UDC: 517.983+517.5
Language: Russian
Citation: D. A. Abanina, “Solvability of convolution equations in the Beurling spaces of ultradifferentiable functions of mean type on an interval”, Sibirsk. Mat. Zh., 53:3 (2012), 477–494; Siberian Math. J., 53:3 (2012), 377–392
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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