Аннотация
We study the well-posedness of a spectral problem generated by the Cauchy-Riemann differential operator. Based on the author’s previous works, where the Dirichlet-type problem for the Cauchy-Riemann operator is studied and the Volterra nature of the original problem is established, boundary pairs are constructed for (i) a spectral problem with nonlocal boundary conditions and (ii) a spectral problem with Bitsadze-Samarskii-type boundary conditions. A boundary pair consists of a bounded linear operator mapping continuous functions in the unit disk to holomorphic functions and a bounded linear functional acting on continuous functions in the unit disk.