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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 1, Pages 3–9 (Mi ivm7167)  
This article is cited in 2 scientific papers (total in 2 papers)

An algebra generated by multiplicative discrete convolution operators

O. G. Avsyankin

Chair of Differential and Integral Equations, Southern Federal University, Rostov-on-Don, Russia
Full-text PDF (186 kB) Citations (2)
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Abstract: We consider a Banach algebra generated by multiplicative discrete convolution operators. We construct a symbolic calculus for this algebra and in terms of this calculus we describe criteria for the Noetherian property of operators and obtain a formula for their index.
Keywords: multiplicative discrete convolution, Banach algebra, symbol, Noetherian property, index.
Received: 27.05.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 1, Pages 1–6
DOI: https://doi.org/10.3103/S1066369X11010014
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: O. G. Avsyankin, “An algebra generated by multiplicative discrete convolution operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1, 3–9; Russian Math. (Iz. VUZ), 55:1 (2011), 1–6
Citation in format AMSBIB
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\paper An algebra generated by multiplicative discrete convolution operators
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 1
\pages 1--6
\crossref{https://doi.org/10.3103/S1066369X11010014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952854438}
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    • This publication is cited in the following 2 articles:
    1. A. R. Chekhlov, “On fully idempotent homomorphisms of abelian groups”, Siberian Math. J., 60:4 (2019), 727–733  mathnet  mathnet  crossref  crossref  isi  scopus
    2. O. G. Avsyankin, “On the $C^*$-algebra generated by multiplicative discrete convolution operators with oscillating coefficients”, Siberian Math. J., 55:6 (2014), 977–983  mathnet  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:576
    Full-text PDF :107
    References:102
    First page:29
     
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