3 papers
math.SP2021
Similar transformation of one class of correct restrictions
B. N. Biyarov
The description of all correct restrictions of the maximal operator are considered in a Hilbert space. A class of correct restrictions are obtained for which a similar transformati…
math.SP2021
Non self-adjoint correct restrictions and extensions with real spectrum
B. N. Biyarov, Z. A. Zakarieva, G. K. Abdrasheva
The work is devoted to the study of the similarity of a correct restriction to some self-adjoint operator in the case when the minimal operator is symmetric. The resulting theorem…
math.FA2019
Correct Singular Perturbations of the Laplace Operator with the Spectrum of the Unperturbed Operator
B. N. Biyarov, D. A. Svistunov, G. K. Abdrasheva
The work is devoted to the study of Laplace operator when the potential is a singular generalized function and plays the role of a singular perturbation of a Laplace operator. Abst…