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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 4, Pages 751–759
DOI: https://doi.org/10.33048/smzh.2019.60.404 (Mi smj3112) 		 
Noethericity and index of a characteristic bisingular integral operator with shifts

S. V. Efimov

Northern-Caucasian Branch of Moscow Technical University of Communications and Informatics, Rostov-on-Don, Russia
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DOI: https://doi.org/10.33048/smzh.2019.60.404
Abstract: We consider a characteristic bisingular operator with rather arbitrary shifts that decompose into one-dimensional components. We reduce the problem about the Noethericity and index to that about an operator without shifts. The results obtained are straightforwardly applicable to the two-dimensional boundary-value problem with shifts which is a natural generalization of the Haseman and Carleman problems.
Keywords: Noethericity, index, bisingular operator, shift.
Received: 29.08.2018
Revised: 01.04.2019
Accepted: 15.05.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 4, Pages 585–591
DOI: https://doi.org/10.1134/S0037446619040049
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. V. Efimov, “Noethericity and index of a characteristic bisingular integral operator with shifts”, Sibirsk. Mat. Zh., 60:4 (2019), 751–759; Siberian Math. J., 60:4 (2019), 585–591
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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