On the limiting absorption principle for a new class of schroedinger hamiltonians

Abstract

We prove the limiting absorption principle and discuss the continuity properties of the boundary values of the resolvent for a class of form bounded perturbations of the Euclidean Laplacian $\Delta$ that covers both short and long range potentials with an essentially optimal behaviour at infinity.

References in corpus (1)

• Limiting Absorption Principle for Schrödinger Operators with Oscillating Potential

Cited by in corpus (2)

• Propagation estimates in the one-commutator theory
• A New Class of Schrödinger Operators without Positive Eigenvalues