Abstract
We obtain the spectrum structures and the spectral decomposition of a non-self-adjoint differential operator L generated by the differential expression l[y] = - y’’ + ax m e iβx y, m, μ, ≥ 1, in the space L 2(-∞, ∞).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. G. Gasymov, “On the spectrum of a non-self-adjoint operator,” Uspekhi Mat. Nauk 36 (6), 209–210 (1981).
M. G. Gasymov, “Spectral analysis for a class of non-self-adjoint differential operators of second order,” Funktsional. Anal. i Prilozhen. 14(1), 14–19(1980)[Functional Anal. Appl. 14(1), 11–15(1980)].
L. A. Pastur and V. A. Tkachenko, “The inverse problem for a class of one-dimensional Schrödinger operators with complex periodic potential,” Izv. Akad. Nauk SSSR Ser. Mat. 54 (6), 1252–1269 (1990).
M. A. Naimark, Linear Differential Operators (Nauka, Moscow, 1969) [in Russian].
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Manafov, M.D. Spectrum and spectral decomposition of a non-self-adjoint differential operator. Math Notes 82, 52–56 (2007). https://doi.org/10.1134/S0001434607070073
Received:
Issue Date:
DOI: https://doi.org/10.1134/S0001434607070073