## 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
✦ LIBER ✦
Absolutely continuous spectrum of Dirac operators for long-range potentials
✍ Scribed by Volker Vogelsang
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 801 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0022-1236
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## Abstract We explicitely compute the absolutely continuous spectrum of the Laplace–Beltrami operator for __p__ ‐forms for the class of warped product metrics __dσ__ ^2^ = __y__ ^2__a__^ __dy__ ^2^ + __y__ ^2__b__^ __dθ__ ^2^, where __y__ is a boundary defining function on the unit ball __B__ (0,