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

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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.

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Authors and Affiliations

  1. Southern Federal University, Rostov-on-Don, Russia

    O. G. Avsyankin

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  1. O. G. Avsyankin
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Correspondence to O. G. Avsyankin.

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Original Russian Text Copyright © 2014 Avsyankin O.G.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 6, pp. 1199–1207, November–December, 2014.

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Avsyankin, O.G. On the C*-algebra generated by multiplicative discrete convolution operators with oscillating coefficients. Sib Math J 55, 977–983 (2014). https://doi.org/10.1134/S0037446614060019

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  • DOI: https://doi.org/10.1134/S0037446614060019

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