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Algebra i Analiz, 2022, Volume 34, Issue 4, Pages 188–213 (Mi aa1827)  
This article is cited in 2 scientific papers (total in 2 papers)

Research Papers

General elementary solution of a homogeneous $q$-sided convolution type equation

Yu. S. Saranchuk, A. B. Shishkin

Kuban State University
Full-text PDF (298 kB) First page Citations (2)
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Abstract: Exponential polynomials satisfying a homogeneous equation of convolution type are called its elementary solutions. The article considers convolution-type operators in the complex domain that generalize the well-known operators of $q$-sided convolution and $\pi$-convolution. The properties of such operators are investigated and the general form of elementary solutions (a general elementary solution) of a homogeneous equation of the type of $q$-sided convolution is described.
Keywords: homogeneous equations of convolution type, elementary solutions, general elementary solution.
Received: 25.12.2021
English version:
St. Petersburg Mathematical Journal, 2023, Volume 34, Issue 4, Pages 695–713
DOI: https://doi.org/10.1090/spmj/1774
Document Type: Article
Language: Russian
Citation: Yu. S. Saranchuk, A. B. Shishkin, “General elementary solution of a homogeneous $q$-sided convolution type equation”, Algebra i Analiz, 34:4 (2022), 188–213; St. Petersburg Math. J., 34:4 (2023), 695–713
Citation in format AMSBIB
\Bibitem{SarShi22}
\by Yu.~S.~Saranchuk, A.~B.~Shishkin
\paper General elementary solution of a homogeneous $q$-sided convolution type equation
\jour Algebra i Analiz
\yr 2022
\vol 34
\issue 4
\pages 188--213
\mathnet{http://mi.mathnet.ru/aa1827}
\transl
\jour St. Petersburg Math. J.
\yr 2023
\vol 34
\issue 4
\pages 695--713
\crossref{https://doi.org/10.1090/spmj/1774}
Linking options:
  • https://www.mathnet.ru/eng/aa1827
  • https://www.mathnet.ru/eng/aa/v34/i4/p188
    • This publication is cited in the following 2 articles:
    1. A. A. Tatarkin, A. B. Shishkin, “Exponential Synthesis in the Kernel of a q-Sided Convolution Operator”, J Math Sci, 282:4 (2024), 581  crossref
    2. A. A. Tatarkin, A. B. Shishkin, “Eksponentsialnyi sintez v yadre operatora $q$-storonnei svertki”, Issledovaniya po lineinym operatoram i teorii funktsii. 50, Zap. nauchn. sem. POMI, 512, POMI, SPb., 2022, 191–222  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:159
    Full-text PDF :1
    References:42
    First page:33
     
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