메뉴 건너뛰기




Volumn , Issue 3, 2005, Pages 155-186

On generalized sum rules for Jacobi matrices

Author keywords

[No Author keywords available]

Indexed keywords


EID: 16344377714     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/imrn.2005.155     Document Type: Article
Times cited : (31)

References (16)
  • 2
    • 85009367586 scopus 로고
    • Equilibrium states and the ergodic theory of Anosov diffeomorphisms
    • Springer, Berlin
    • R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Mathematics, vol. 470, Springer, Berlin, 1975.
    • (1975) Lecture Notes in Mathematics , vol.470
    • Bowen, R.1
  • 3
    • 0347334708 scopus 로고    scopus 로고
    • Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results
    • M. Christ and A. Kiselev, Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: some optimal results, J. Amer. Math. Soc. 11 (1998), no. 4, 771-797.
    • (1998) J. Amer. Math. Soc. , vol.11 , Issue.4 , pp. 771-797
    • Christ, M.1    Kiselev, A.2
  • 4
    • 2142795885 scopus 로고    scopus 로고
    • Necessary and sufficient conditions in the spectral theory of Jacobi matrices and Schrödinger operators
    • D. Damanik, R. Killip, and B. Simon, Necessary and sufficient conditions in the spectral theory of Jacobi matrices and Schrödinger operators, Int. Math. Res. Not. 2004 (2004), no. 22, 1087-1097.
    • (2004) Int. Math. Res. Not. , vol.2004 , Issue.22 , pp. 1087-1097
    • Damanik, D.1    Killip, R.2    Simon, B.3
  • 5
    • 0007035802 scopus 로고    scopus 로고
    • On the absolutely continuous spectrum of one-dimensional Schrödinger operators with square summable potentials
    • P. Deift and R. Killip, On the absolutely continuous spectrum of one-dimensional Schrödinger operators with square summable potentials, Comm. Math. Phys. 203 (1999), no. 2, 341-347.
    • (1999) Comm. Math. Phys. , vol.203 , Issue.2 , pp. 341-347
    • Deift, P.1    Killip, R.2
  • 6
    • 1442351602 scopus 로고    scopus 로고
    • On Rakhmanov's theorem for Jacobi matrices
    • S. A. Denisov, On Rakhmanov's theorem for Jacobi matrices, Proc. Amer. Math. Soc. 132 (2004), no. 3, 847-852.
    • (2004) Proc. Amer. Math. Soc. , vol.132 , Issue.3 , pp. 847-852
    • Denisov, S.A.1
  • 7
    • 16344395259 scopus 로고    scopus 로고
    • Non-Szegö asymptotics for orthogonal polynomials on the unit circle
    • to appear in
    • S. A. Denisov and S. Kupin, Non-Szegö asymptotics for orthogonal polynomials on the unit circle, to appear in J. Approx. Theory.
    • J. Approx. Theory
    • Denisov, S.A.1    Kupin, S.2
  • 8
    • 0036747249 scopus 로고    scopus 로고
    • Lieb-Thirring inequalities for Jacobi matrices
    • D. Hundertmark and B. Simon, Lieb-Thirring inequalities for Jacobi matrices, J. Approx. Theory 118 (2002), no. 1, 106-130.
    • (2002) J. Approx. Theory , vol.118 , Issue.1 , pp. 106-130
    • Hundertmark, D.1    Simon, B.2
  • 9
    • 0141614025 scopus 로고    scopus 로고
    • Sum rules for Jacobi matrices and their applications to spectral theory
    • R. Killip and B. Simon, Sum rules for Jacobi matrices and their applications to spectral theory, Ann. of Math. (2) 158 (2003), no. 1, 253-321.
    • (2003) Ann. of Math. (2) , vol.158 , Issue.1 , pp. 253-321
    • Killip, R.1    Simon, B.2
  • 10
    • 0000190774 scopus 로고
    • On the trace formula in perturbation theory
    • Russian
    • M. G. Kreǐn, On the trace formula in perturbation theory, Mat. Sb. 33 (1953), no. 75, 597-626 (Russian).
    • (1953) Mat. Sb. , vol.33 , Issue.75 , pp. 597-626
    • Kreǐn, M.G.1
  • 11
    • 0038391290 scopus 로고    scopus 로고
    • On sum rules of special form for Jacobi matrices
    • S. Kupin, On sum rules of special form for Jacobi matrices, C. R. Math. Acad. Sci. Paris 336 (2003), no. 7, 611-614.
    • (2003) C. R. Math. Acad. Sci. Paris , vol.336 , Issue.7 , pp. 611-614
    • Kupin, S.1
  • 12
    • 0142199385 scopus 로고    scopus 로고
    • On new relations between spectral properties of Jacobi matrices and their coefficients
    • A. Laptev, S. Naboko, and O. Safronov, On new relations between spectral properties of Jacobi matrices and their coefficients, Comm. Math. Phys. 241 (2003), no. 1, 91-110.
    • (2003) Comm. Math. Phys. , vol.241 , Issue.1 , pp. 91-110
    • Laptev, A.1    Naboko, S.2    Safronov, O.3
  • 13
    • 23044531005 scopus 로고    scopus 로고
    • Asymptotics of orthonormal polynomials in the presence of a denumerable set of mass points
    • F. Peherstorfer and P. Yuditskii, Asymptotics of orthonormal polynomials in the presence of a denumerable set of mass points, Proc. Amer. Math. Soc. 129 (2001), no. 11, 3213-3220.
    • (2001) Proc. Amer. Math. Soc. , vol.129 , Issue.11 , pp. 3213-3220
    • Peherstorfer, F.1    Yuditskii, P.2
  • 14
    • 0001340426 scopus 로고
    • The asymptotic behavior of the ratio of orthogonal polynomials, II
    • Russian
    • E. A. Rakhmanov, The asymptotic behavior of the ratio of orthogonal polynomials, II, Mat. Sb. 118 (160) (1982), no. 1, 104-117 (Russian).
    • (1982) Mat. Sb. , vol.118 , Issue.1 , pp. 104-117
    • Rakhmanov, E.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.