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Matematicheskie Zametki, 2014, Volume 96, Issue 4, Pages 548–566
DOI: https://doi.org/10.4213/mzm9688 (Mi mzm9688) 		 
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
Full-text PDF (568 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm9688
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
English version:
Mathematical Notes, 2014, Volume 96, Issue 4, Pages 522–537
DOI: https://doi.org/10.1134/S0001434614090272
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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