Noethericity and Index of a Characteristic Bisingular Integral Operator with Shifts
- Authors: Efimov S.V.1
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Affiliations:
- North Caucasus Branch of Moscow Technical University of Communications and Informatics
- Issue: Vol 60, No 4 (2019)
- Pages: 585-591
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172486
- DOI: https://doi.org/10.1134/S0037446619040049
- ID: 172486
Cite item
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
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