This article is cited in 1 paper

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

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.

UDC: 517.9

Received: 29.08.2018
Revised: 01.04.2019
Accepted: 15.05.2019

DOI: 10.33048/smzh.2019.60.404

 English version: Siberian Mathematical Journal, 2019, 60:4, 585–591

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