Abstract
In the functional space \(C(|z|\leq 1)\) is considered a spectral problem for the Cauchy–Riemann operator with boundary conditions of the Bitsadze–Samarskii type. It is proved under the assumption that when \(0\in\rho(K)\) is a non-empty resolvent set of the operator \(K\), the considered spectral problem for the Cauchy–Riemann operator is reduced to a singular integral equation with a continuous kernel.
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Funding
This research has been funded by the Science Committee of the Ministry of Science and Education of the Republic of Kazakhstan (grant no. AP09260752).
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Imanbaev, N.S. On a Spectral Problem for the Cauchy–Riemann Operator with Boundary Conditions of the Bitsadze–Samarskii Type. Lobachevskii J Math 44, 1162–1170 (2023). https://doi.org/10.1134/S1995080223030150
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DOI: https://doi.org/10.1134/S1995080223030150