We investigate the spectral properties of a class of Jacobi matrices in which the subdiagonal entries are quadratics and the row sums are constants. 2002 Elsevier Science (USA)
✦ LIBER ✦
Anisotropic Jacobi matrices with absolutely continuous spectrum
✍ Scribed by Anne Boutet de Monvel; Jaouad Sahbani
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 361 KB
- Volume
- 328
- Category
- Article
- ISSN
- 0764-4442
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## Abstract We show that when a potential __b~n~__ of a discrete Schrödinger operator, defined on __l__^2^(ℤ^+^), slowly oscillates satisfying the conditions __b~n~__ ∈ __l__^∞^ and ∂__b~n~__ = __b__~__n__ +1~ – __b~n~__ ∈ __l^p^__, __p__ < 2, then all solutions of the equation __Ju__ = __Eu__ are