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The spectral analysis of a nuclear resolvent operator associated with a second order dissipative differential operator

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dc.contributor.author Uğurlu, Ekin
dc.contributor.author Bairamov, Elgiz tr_TR
dc.date.accessioned 2018-09-12T08:04:18Z
dc.date.available 2018-09-12T08:04:18Z
dc.date.issued 2017-06
dc.identifier.citation Uğurlu, 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/s40315-016-0185-8 tr_TR
dc.identifier.issn 1617-9447
dc.identifier.uri http://hdl.handle.net/20.500.12416/1696
dc.description.abstract In 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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer tr_TR
dc.relation.isversionof 10.1007/s40315-016-0185-8 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Dissipative Operators tr_TR
dc.subject Trace Class Operator tr_TR
dc.subject Nuclear Operator tr_TR
dc.subject Hilbert-Schmidt Operator tr_TR
dc.subject Completeness Theorem tr_TR
dc.title The spectral analysis of a nuclear resolvent operator associated with a second order dissipative differential operator tr_TR
dc.type article tr_TR
dc.relation.journal Computational Methods And Function Theory tr_TR
dc.contributor.authorID 238990 tr_TR
dc.identifier.volume 17 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 237 tr_TR
dc.identifier.endpage 253 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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