Noethericity and Index of a Characteristic Bisingular Integral Operator with Shifts


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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.

About the authors

S. V. Efimov

North Caucasus Branch of Moscow Technical University of Communications and Informatics

Author for correspondence.
Email: EfimovSergei1960@mail.ru
Russian Federation, Rostov-on-Don


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