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Volumn 124, Issue 7, 1996, Pages 2073-2080

Operators with singular continuous spectrum, V. Sparse potentials

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EID: 21344462727     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-96-03465-x     Document Type: Article
Times cited : (45)

References (15)
  • 3
    • 21844506818 scopus 로고
    • Operators with singular continuous spectrum, II. Rank one operators
    • CMP 95:02
    • R. del Rio, N. Makarov, and B. Simon, Operators with singular continuous spectrum, II. Rank one operators, Commun. Math. Phys. 165 (1994), 59-67. CMP 95:02
    • (1994) Commun. Math. Phys. , vol.165 , pp. 59-67
    • Del Rio, R.1    Makarov, N.2    Simon, B.3
  • 4
    • 0000111786 scopus 로고
    • Stability of spectral types for Sturm-Liouville operators
    • CMP 95:03
    • R. del Rio, B. Simon, and G. Stolz, Stability of spectral types for Sturm-Liouville operators, Math. Research Lett. 1 (1994), 437-450. CMP 95:03
    • (1994) Math. Research Lett. , vol.1 , pp. 437-450
    • Del Rio, R.1    Simon, B.2    Stolz, G.3
  • 5
    • 34249922888 scopus 로고
    • Spectral theory for one-dimensional Schrödinger operators with strongly fluctuating potentials
    • MR 93a:34097
    • A. Gordon, S. Molchanov, and B. Tsagani, Spectral theory for one-dimensional Schrödinger operators with strongly fluctuating potentials, Funct. Anal. Appl. 25 (1992), 236-238. MR 93a:34097
    • (1992) Funct. Anal. Appl. , vol.25 , pp. 236-238
    • Gordon, A.1    Molchanov, S.2    Tsagani, B.3
  • 6
    • 0000670801 scopus 로고
    • Singular continuous spectrum for palindromic Schrödinger operators
    • A. Hof, O. Knill, and B. Simon, Singular continuous spectrum for palindromic Schrödinger operators, Commun. Math. Phys. 174 (1995), 149-159.
    • (1995) Commun. Math. Phys. , vol.174 , pp. 149-159
    • Hof, A.1    Knill, O.2    Simon, B.3
  • 7
    • 21844505868 scopus 로고
    • Operators with singular continuous spectrum, III. Almost periodic Schrödinger operators
    • CMP 95:02
    • S. Jitomirskaya and B. Simon, Operators with singular continuous spectrum, III. Almost periodic Schrödinger operators, Commun. Math. Phys. 165 (1994), 201-205. CMP 95:02
    • (1994) Commun. Math. Phys. , vol.165 , pp. 201-205
    • Jitomirskaya, S.1    Simon, B.2
  • 8
    • 0000505933 scopus 로고
    • Absence of absolutely continuous spectrum for some one-dimensional random but deterministic potentials
    • MR 87h:60115
    • W. Kirsch, S. Kotani, and B. Simon, Absence of absolutely continuous spectrum for some one-dimensional random but deterministic potentials, Ann. Inst. Henri Poincaré 42 (1985), 383-406. MR 87h:60115
    • (1985) Ann. Inst. Henri Poincaré , vol.42 , pp. 383-406
    • Kirsch, W.1    Kotani, S.2    Simon, B.3
  • 9
    • 0001691716 scopus 로고
    • Summer School in Probability Theory, Saint-Flour, France
    • S. Molchanov, Lectures on the Random Media, Summer School in Probability Theory, Saint-Flour, France, 1992.
    • (1992) Lectures on the Random Media
    • Molchanov, S.1
  • 10
    • 0002464911 scopus 로고
    • Singular continuous measures in scattering theory
    • MR 58:4076
    • D. Pearson, Singular continuous measures in scattering theory, Commun. Math. Phys. 60 (1978), 13-36. MR 58:4076
    • (1978) Commun. Math. Phys. , vol.60 , pp. 13-36
    • Pearson, D.1
  • 11
    • 0001592725 scopus 로고
    • Operators with singular continuous spectrum, I. General operators
    • CMP 95:07
    • B. Simon, Operators with singular continuous spectrum, I. General operators, Ann. of Math. 141 (1995), 131-145. CMP 95:07
    • (1995) Ann. of Math. , vol.141 , pp. 131-145
    • Simon, B.1
  • 12
    • 21844481827 scopus 로고
    • p norms of the Borel transform and the decomposition of measures
    • CMP 94:13
    • p norms of the Borel transform and the decomposition of measures, Proc. Amer. Math. Soc. 123 (1995), 3749-3755. CMP 94:13
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 3749-3755
  • 13
    • 33645906715 scopus 로고    scopus 로고
    • Operators with singular continuous spectrum, VI. Graph Laplacians and Laplace-Beltrami operators
    • to appear CMP 95:05
    • _, Operators with singular continuous spectrum, VI. Graph Laplacians and Laplace-Beltrami operators, Proc. Amer. Math. Soc. (to appear). CMP 95:05
    • Proc. Amer. Math. Soc.
  • 14
    • 33947511069 scopus 로고
    • Trace class perturbations and the absence of absolutely continuous spectrum
    • MR 91g:81018
    • B. Simon and T. Spencer, Trace class perturbations and the absence of absolutely continuous spectrum, Commun. Math. Phys. 125 (1989), 113-126. MR 91g:81018
    • (1989) Commun. Math. Phys. , vol.125 , pp. 113-126
    • Simon, B.1    Spencer, T.2
  • 15
    • 84959751782 scopus 로고    scopus 로고
    • Spectral theory for slowly oscillating potentials, II. Schrödinger operators
    • to appear
    • G. Stolz, Spectral theory for slowly oscillating potentials, II. Schrödinger operators, Math. Nachrichten (to appear).
    • Math. Nachrichten
    • Stolz, G.1


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