báo cáo hóa học:" The asymptotics of eigenvalues and trace formula of operator associated with one singular problem"

Tham khảo tài liệu 'báo cáo hóa học:" the asymptotics of eigenvalues and trace formula of operator associated with one singular problem"', luận văn - báo cáo phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Boundary Value Problems SpringerOpen0 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text HTML versions will be made available soon. The asymptotics of eigenvalues and trace formula of operator associated with one singular problem Boundary Value Problems 2012 2012 8 doi 1687-2770-2012-8 Nigar M Aslanova ISSN 1687-2770 Article type Research Submission date 14 September 2011 Acceptance date 23 January 2012 Publication date 23 January 2012 Article URL http content 2012 1 8 This peer-reviewed article was published immediately upon acceptance. It can be downloaded printed and distributed freely for any purposes see copyright notice below . For information about publishing your research in Boundary Value Problems go to http authors instructions For information about other SpringerOpen publications go to http 2012 Aslanova licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License http licenses by which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. The asymptpotics of eigenvalues and trace formula of operator associated with one singular problem Nigar M Aslanova Institute of Mathematics and Mechanics of NAS of Azerbaijan Baku Azerbaijan Mathematics Department Khazar University Baku Azerbaijan Email address Abstract In the article spectrum of operator generated by differential operator expression given on semi axis is investigated and proved formula for regularized trace of this operator. 1 Introduction Let H be a separable Hilbert space with a scalar product . . and norm . . Consider in L2 0 1 H the problem -y x xy x Ay x q x y x Xyl x 1 y 0 0 2 where A is a self-adjoint positive-definite operator in H which has a compact

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