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Izvestiya: Mathematics, 2011, Volume 75, Issue 3, Pages 507–537
DOI: https://doi.org/10.1070/IM2011v075n03ABEH002542
(Mi im4111)
 

This article is cited in 2 scientific papers (total in 2 papers)

On the extension problem for solutions of homogeneous convolution equations

V. V. Volchkov, Vit. V. Volchkov

Donetsk National University
References:
Abstract: We construct a series of counterexamples showing the unimprovability of the hypotheses of certain results related to the extension problem in the theory of convolution equations.
Keywords: convolution equation, mean periodicity, extension problem, Fourier transform.
Received: 30.04.2009
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2011, Volume 75, Issue 3, Pages 65–96
DOI: https://doi.org/10.4213/im4111
Bibliographic databases:
Document Type: Article
UDC: 517.444
MSC: 44A35, 45E10, 46F10
Language: English
Original paper language: Russian
Citation: V. V. Volchkov, Vit. V. Volchkov, “On the extension problem for solutions of homogeneous convolution equations”, Izv. RAN. Ser. Mat., 75:3 (2011), 65–96; Izv. Math., 75:3 (2011), 507–537
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/im4111
  • https://doi.org/10.1070/IM2011v075n03ABEH002542
  • https://www.mathnet.ru/eng/im/v75/i3/p65
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Èçâåñòèÿ Ðîññèéñêîé àêàäåìèè íàóê. Ñåðèÿ ìàòåìàòè÷åñêàÿ Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:579
    Russian version PDF:210
    English version PDF:21
    References:80
    First page:19
     
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