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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 6, Pages 1199–1207 (Mi smj2598)  
This article is cited in 2 scientific papers (total in 2 papers)

On the $C^*$-algebra generated by multiplicative discrete convolution operators with oscillating coefficients

O. G. Avsyankin

Southern Federal University, Rostov-on-Don, Russia
Full-text PDF (330 kB) Citations (2)
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Abstract: We consider the $C^*$-algebra generated by multiplicative discrete convolution operators and multiplication operators by oscillating coefficients. For this algebra we construct some symbol operator calculus in terms of which we obtain necessary and sufficient conditions of the Noethericity for operators.
Keywords: multiplicative discrete convolution, $C^*$-algebra, isomorphism, group, symbol, Noethericity, invertibility.
Received: 24.01.2014
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 6, Pages 977–983
DOI: https://doi.org/10.1134/S0037446614060019
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: O. G. Avsyankin, “On the $C^*$-algebra generated by multiplicative discrete convolution operators with oscillating coefficients”, Sibirsk. Mat. Zh., 55:6 (2014), 1199–1207; Siberian Math. J., 55:6 (2014), 977–983
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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