Bairamov, ElgizUgurlu, Ekin2018-09-122025-09-182018-09-122025-09-182017Uğurlu, E. (2017). The spectral analysis of a nuclear resolvent operator associated with a second order dissipative differential operator. Computational Methods And Function Theory, 17(2), 237-253. http://dx.doi.org/10.1007/s40315-016-0185-81617-94472195-3724https://doi.org/10.1007/s40315-016-0185-8https://hdl.handle.net/20.500.12416/13179In this paper, we introduce a new approach for the spectral analysis of a linear second order dissipative differential operator with distributional potentials. This approach is related with the inverse operator. We show that the inverse operator is a non-selfadjoint trace class operator. Using Lidskii's theorem, we introduce a complete spectral analysis of the second order dissipative differential operator. Moreover, we give a trace formula for the trace class integral operator.eninfo:eu-repo/semantics/closedAccessDissipative OperatorTrace Class OperatorNuclear OperatorHilbert-Schmidt OperatorCompleteness TheoremArticle10.1007/s40315-016-0185-82-s2.0-85019252476