On the spectral properties of discrete schrödinger operators;Sur les propriétés spectrales des opérateurs de schrödinger discrets

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 326, Issue 9, 1998, Pages 1145-1150

  Boutet De Monvel, Anne ^a   Sahbani, Jaouad ^a  

^a INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032065170     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(98)80078-5     Document Type: Article

References (10)

1. 0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians, Progress in Math. 135, Birkhäuser Verlag, Basel, 1996.
2. [2] Boutet de Monvel A., Georgescu V., Sahbani J., Boundary Values of Resolvent Families and Propagation Properties, C. R. Acad. Sci. Paris t. 322 Série I (1996) 289-294.
3. [3] Boutet de Monvel A., Georgescu V., Sahbani J., Higher Order Estimates in the Conjugate Operator Theory, Preprint, Inst. Math. Jussieu 59, 1996.
4. [4] Boutet de Monvel A., Sahbani J., On the spectral properties of discrete Schrödinger operators: the multidimensional case, (1998) (submitted).
5. [5] Kiselev A., Absolutely Continuous Spectrum of One-Dimensional Schrödinger Operators and Jacobi Matrices with Slowly Decreasing Potentials, Commun. Math. Phys. 179 (1996) 377-400.
6. [6] Naboko S.N., Yakovlev S.I., The point spectrum of a discrete Schrödinger operator, Funktsional. Anal. i Prilozhen. 26 (1992) 85-88 (= Funct. Anal. Appl. 26 (1992) 145-147).
7. [6] Naboko S.N., Yakovlev S.I., The point spectrum of a discrete Schrödinger operator, Funktsional. Anal. i Prilozhen. 26 (1992) 85-88 (= Funct. Anal. Appl. 26 (1992) 145-147).
8. [7] Sahbani J., The Conjugate Operator Method For Locally Regular Hamiltonians, J. Operator Theory 38 (1997) 297-322.
9. [8] Sahbani J., Propagation Theorems for Some Classes of Pseudo-Differential Operators, J. Math. Anal. Appl. 211 (1997) 481-497.
10. [9] Simon B., Some Jacobi Matrices with Decaying Potential and Dense Point Spectrum, Commun. Math. Phys. 87 (1982) 253-258.