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Variational Estimates for Discrete Schrödinger Operators with Potentials of Indefinite Sign

✍ Scribed by D. Damanik; D. Hundertmark; R. Killip; B. Simon

Book ID
105901938
Publisher
Springer
Year
2003
Tongue
English
Weight
217 KB
Volume
238
Category
Article
ISSN
0010-3616

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📜 SIMILAR VOLUMES

Absolutely continuous spectrum of discre
Absolutely continuous spectrum of discrete Schrödinger operators with slowly oscillating potentials
✍ Ahyoung Kim; Alexander Kiselev 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 220 KB

## 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