AbstractIn this paper we derive some a priori estimates on the resolvent of one dimensional Schrödinger operators from the solutions of the associated differential equation with real energy. In particular this implies the existence of an absolutely continuous spectrum in some situations
AbstractThe absolutely continuous spectrum of differential operators of the formLy=w−1∑k=0n(−1)k(pky...
We consider the $0$-order perturbed Lamé operator $-\Delta^\ast + V(x)$. It is well known that if ...
AbstractBy considering the behaviour as N → ∞ of the ratio of L2[0, N] norms of solutions of −d2dr2 ...
AbstractIn this paper we derive some a priori estimates on the resolvent of one dimensional Schrödin...
In this article, we show that under some coercive assumption on the complex-valued potential V(x), t...
AbstractLet H = −Δ + VE(¦x¦)+ V(x) be a Schrödinger operator in Rn. Here VE(¦x¦) is an “exploding” r...
The proof of Lemma 6.1 and thus Theorem 6.1 was false; the new version provides a correct proof. The...
AbstractWe consider Schrödinger operators H = − 12Δ + V for a large class of potentials. V. We show ...
In this Dissertation thesis the spectral theory of Schrödinger operators modeling quasicrystals in d...
AbstractLet H = −Δ + VE(¦x¦)+ V(x) be a Schrödinger operator in Rn. Here VE(¦x¦) is an “exploding” r...
AbstractWe present general principles for the preservation of a.c. spectrum under weak perturbations...
AbstractFor a large class of multi-dimensional Schrödinger operators it is shown that the absolutely...
AbstractThe connection between the decay of subordinate solutions and the singularities of them-func...
AbstractWe prove that there exist some Sturm–Liouville operators with square summable potentials suc...
We present an extension of the Gilbert-Pearson theory of subordinacy, which relates dimensional Haus...
AbstractThe absolutely continuous spectrum of differential operators of the formLy=w−1∑k=0n(−1)k(pky...
We consider the $0$-order perturbed Lamé operator $-\Delta^\ast + V(x)$. It is well known that if ...
AbstractBy considering the behaviour as N → ∞ of the ratio of L2[0, N] norms of solutions of −d2dr2 ...
AbstractIn this paper we derive some a priori estimates on the resolvent of one dimensional Schrödin...
In this article, we show that under some coercive assumption on the complex-valued potential V(x), t...
AbstractLet H = −Δ + VE(¦x¦)+ V(x) be a Schrödinger operator in Rn. Here VE(¦x¦) is an “exploding” r...
The proof of Lemma 6.1 and thus Theorem 6.1 was false; the new version provides a correct proof. The...
AbstractWe consider Schrödinger operators H = − 12Δ + V for a large class of potentials. V. We show ...
In this Dissertation thesis the spectral theory of Schrödinger operators modeling quasicrystals in d...
AbstractLet H = −Δ + VE(¦x¦)+ V(x) be a Schrödinger operator in Rn. Here VE(¦x¦) is an “exploding” r...
AbstractWe present general principles for the preservation of a.c. spectrum under weak perturbations...
AbstractFor a large class of multi-dimensional Schrödinger operators it is shown that the absolutely...
AbstractThe connection between the decay of subordinate solutions and the singularities of them-func...
AbstractWe prove that there exist some Sturm–Liouville operators with square summable potentials suc...
We present an extension of the Gilbert-Pearson theory of subordinacy, which relates dimensional Haus...
AbstractThe absolutely continuous spectrum of differential operators of the formLy=w−1∑k=0n(−1)k(pky...
We consider the $0$-order perturbed Lamé operator $-\Delta^\ast + V(x)$. It is well known that if ...
AbstractBy considering the behaviour as N → ∞ of the ratio of L2[0, N] norms of solutions of −d2dr2 ...
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