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.
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Russian Text © The Author(s), 2019, published in Sibirskii Matematicheskii Zhurnal, 2019, Vol. 60, No. 4, pp. 751–759.
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Efimov, S.V. Noethericity and Index of a Characteristic Bisingular Integral Operator with Shifts. Sib Math J 60, 585–591 (2019). https://doi.org/10.1134/S0037446619040049
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DOI: https://doi.org/10.1134/S0037446619040049