Abstract: | We give a generalization of the study of nonselfadjoint perturbations of selfadjoint operators and the Fourier transforms of such perturbations to the case when the unperturbed operator is nonselfadjoint and has a simple structure. In defining and studying the Fourier transform of the perturbed operator we use smoothness of Kato type of the perturbation with respect to the unperturbed operator.Translated fromMatematicheskie Melody i Fiziko-Mekhanicheskie Polya, Issue 34, 1991, pp. 19–21. |