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Volumn 179, Issue 2, 1996, Pages 377-399

Absolutely continuous spectrum of one-dimensional Schrödinger operators and Jacobi matrices with slowly decreasing potentials

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EID: 0040523358     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02102594     Document Type: Article
Times cited : (57)

References (31)
  • 1
    • 84968502687 scopus 로고
    • Absolute continuity of Hamiltonians with von Neumann-Wigner potentials
    • Behncke, H.: Absolute continuity of Hamiltonians with von Neumann-Wigner potentials. Proc. Am. Math. Soc. 111, 373-384 (1991)
    • (1991) Proc. Am. Math. Soc. , vol.111 , pp. 373-384
    • Behncke, H.1
  • 2
    • 0001498106 scopus 로고
    • On convergence and growth of partial sums of Fourier series
    • Carleson, L.: On convergence and growth of partial sums of Fourier series. Acta Math. 116, 135-157 (1966)
    • (1966) Acta Math. , vol.116 , pp. 135-157
    • Carleson, L.1
  • 4
    • 21844506818 scopus 로고
    • Operators with singular continuous spectrum, II. Rank one operators
    • del Rio, R., Makarov, N., Simon, B.: Operators with singular continuous spectrum, II. Rank one operators. Commun. Math. Phys. 165, 59-67 (1994)
    • (1994) Commun. Math. Phys. , vol.165 , pp. 59-67
    • Del Rio, R.1    Makarov, N.2    Simon, B.3
  • 5
    • 0001180136 scopus 로고
    • From power pure point to continuous spectrum in disordered systems
    • Delyon, F., Simon, B., Souillard, B.: From power pure point to continuous spectrum in disordered systems. Ann. Inst. H. Poincaré 42, 283-309 (1985)
    • (1985) Ann. Inst. H. Poincaré , vol.42 , pp. 283-309
    • Delyon, F.1    Simon, B.2    Souillard, B.3
  • 6
    • 0003655370 scopus 로고
    • Schrödinger-type operators with continuous spectra
    • London: Pitman Books Ltd.
    • Eastham, M.S.P., KaIf, H.: Schrödinger-type Operators with Continuous Spectra. Research Notes in Mathematics 65, London: Pitman Books Ltd., 1982
    • (1982) Research Notes in Mathematics , vol.65
    • Eastham, M.S.P.1    Kaif, H.2
  • 7
    • 84976167456 scopus 로고
    • The existence of eigenvalues imbedded in the continuous spectrum of ordinary differential operators
    • Eastham, M.S.P., Mc Leod, J.B.: The existence of eigenvalues imbedded in the continuous spectrum of ordinary differential operators, Proc. Roy. Soc. Edinburgh, 79A, 25-34 (1977)
    • (1977) Proc. Roy. Soc. Edinburgh , vol.79 A , pp. 25-34
    • Eastham, M.S.P.1    Mc Leod, J.B.2
  • 8
    • 0002280835 scopus 로고
    • On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
    • Gilbert, D.J., Pearson, D.B.: On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators. J. Math. Anal. Appl. 128, 30-56 (1987)
    • (1987) J. Math. Anal. Appl. , vol.128 , pp. 30-56
    • Gilbert, D.J.1    Pearson, D.B.2
  • 9
    • 21844493490 scopus 로고
    • Pure point spectrum under 1-parameter perturbations and instability of Anderson localization
    • Gordon, A.: Pure point spectrum under 1-parameter perturbations and instability of Anderson localization. Commun. Math. Phys. 164, 489-505 (1994)
    • (1994) Commun. Math. Phys. , vol.164 , pp. 489-505
    • Gordon, A.1
  • 10
    • 0016535307 scopus 로고
    • Asymptotic integration of adiabatic oscillator
    • Harris, W.A., Lutz, D.A.: Asymptotic integration of adiabatic oscillator. J. Math. Anal. Appl. 51, 76-93 (1975)
    • (1975) J. Math. Anal. Appl. , vol.51 , pp. 76-93
    • Harris, W.A.1    Lutz, D.A.2
  • 11
    • 0010958011 scopus 로고
    • Absolutely continuous spectra of second-order differential operators with short and long range potentials
    • Hinton, D.B., Shaw, J.K.: Absolutely continuous spectra of second-order differential operators with short and long range potentials. SIAM J. Math. Anal. 17, 182-196 (1986)
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 182-196
    • Hinton, D.B.1    Shaw, J.K.2
  • 13
    • 0039094550 scopus 로고
    • Multiplicity of the spectrum of differential operator and eigenfunction expansion
    • Russian
    • Kac, I.S.: Multiplicity of the spectrum of differential operator and eigenfunction expansion. Izv. Akad. Nauk USSR 27, 1081-1112 (1963) (Russian)
    • (1963) Izv. Akad. Nauk USSR , vol.27 , pp. 1081-1112
    • Kac, I.S.1
  • 14
    • 0000532086 scopus 로고
    • Subordinacy and spectral theory for infinite matrices
    • Khan, S., Pearson, D.B.: Subordinacy and spectral theory for infinite matrices. Helv. Phys. Acta 65, 505-527 (1992)
    • (1992) Helv. Phys. Acta , vol.65 , pp. 505-527
    • Khan, S.1    Pearson, D.B.2
  • 15
    • 0001261704 scopus 로고
    • One-dimensional Schrödinger operators with random decaying potentials
    • Kotani, S., Ushiroya, N.: One-dimensional Schrödinger operators with random decaying potentials. Commun. Math. Phys. 115, 247-266 (1988)
    • (1988) Commun. Math. Phys. , vol.115 , pp. 247-266
    • Kotani, S.1    Ushiroya, N.2
  • 16
    • 0010957560 scopus 로고
    • Wave operators and positive eigenvalues for a Schrödinger equation with oscillating potential
    • Matveev, V.B.: Wave operators and positive eigenvalues for a Schrödinger equation with oscillating potential. Theoret, and Math. Phys. 15, 574-583 (1973)
    • (1973) Theoret, and Math. Phys. , vol.15 , pp. 574-583
    • Matveev, V.B.1
  • 17
    • 0000500763 scopus 로고
    • Sur les séries de fonctions orthogonales
    • Menchoff, D.: Sur les séries de fonctions orthogonales. Fund. Math. 10, 375-420 (1927)
    • (1927) Fund. Math. , vol.10 , pp. 375-420
    • Menchoff, D.1
  • 18
    • 0001062331 scopus 로고
    • Dense point spectra of Schrödinger and Dirac operators
    • Naboko, S.N.: Dense point spectra of Schrödinger and Dirac operators. Theor. Math. 68, 18-28 (1986)
    • (1986) Theor. Math. , vol.68 , pp. 18-28
    • Naboko, S.N.1
  • 19
    • 0001963953 scopus 로고
    • On the point spectrum of discrete Schrödinger operators
    • Naboko, S.N., Yakovlev, S.I.: On the point spectrum of discrete Schrödinger operators. Funct. Anal. 26(2), 145-147 (1992)
    • (1992) Funct. Anal. , vol.26 , Issue.2 , pp. 145-147
    • Naboko, S.N.1    Yakovlev, S.I.2
  • 20
    • 0002464911 scopus 로고
    • Singular continuous measures in scattering theory
    • Pearson, D.B.: Singular continuous measures in scattering theory. Commun. Math. Phys. 60, 13-36 (1978)
    • (1978) Commun. Math. Phys. , vol.60 , pp. 13-36
    • Pearson, D.B.1
  • 24
    • 0001592725 scopus 로고
    • Operators with singular continuous spectrum, I. General operators
    • Simon, B.: Operators with singular continuous spectrum, I. General operators. Ann. Math. 141, 131-145 (1995)
    • (1995) Ann. Math. , vol.141 , pp. 131-145
    • Simon, B.1
  • 25
    • 0010603450 scopus 로고    scopus 로고
    • Some Schrödinger operators with dense point spectrum
    • to appear
    • Simon, B.: Some Schrödinger operators with dense point spectrum. Proc. Am. Math. Soc. (to appear)
    • Proc. Am. Math. Soc.
    • Simon, B.1
  • 26
    • 0011422387 scopus 로고    scopus 로고
    • Bounded eigenfunctions and absolutely continuous spectra lor one-dimensional Schrödinger operators
    • to appear
    • Simon, B.: Bounded eigenfunctions and absolutely continuous spectra lor one-dimensional Schrödinger operators. Proc. Am. Math. Soc. (to appear)
    • Proc. Am. Math. Soc.
    • Simon, B.1
  • 27
    • 0001363089 scopus 로고
    • Bounded solutions and absolute continuity of Sturm-Liouville operators
    • Stolz, G.: Bounded solutions and absolute continuity of Sturm-Liouville Operators. J. Math. Anal. Appl. 169, 210-228 (1992)
    • (1992) J. Math. Anal. Appl. , vol.169 , pp. 210-228
    • Stolz, G.1
  • 28
    • 84976128879 scopus 로고
    • The point-continuous spectrum of second-order, ordinary differential operators
    • Thurlow, C.R.: The point-continuous spectrum of second-order, ordinary differential operators. Proc. Roy. Soc. Edinburgh 84A, 197-211 (1979)
    • (1979) Proc. Roy. Soc. Edinburgh , vol.84 A , pp. 197-211
    • Thurlow, C.R.1
  • 29
    • 0002260691 scopus 로고
    • Spectral theory of ordinary differential operators
    • Berlin: Springer-Verlag
    • Weidman, J.: Spectral Theory of Ordinary Differential Operators. Lecture Notes in Mathematics 1258, Berlin: Springer-Verlag, 1987
    • (1987) Lecture Notes in Mathematics , vol.1258
    • Weidman, J.1
  • 30
    • 0000327274 scopus 로고
    • Schrödinger operators with rapidly oscillating central potentials
    • White, D.A.W.: Schrödinger operators with rapidly oscillating central potentials. Trans. Am. Math. Soc. 275, 641-677 (1983)
    • (1983) Trans. Am. Math. Soc. , vol.275 , pp. 641-677
    • White, D.A.W.1
  • 31
    • 0001666154 scopus 로고
    • A remark on Fourier transforms
    • Zygmund, A.: A remark on Fourier transforms. Proc. Camb. Phil. Soc. 32, 321-327 (1936)
    • (1936) Proc. Camb. Phil. Soc. , vol.32 , pp. 321-327
    • Zygmund, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.