Low energy resolvent estimates for slowly decaying attractive potentials

We discuss the low energy resolvent estimates for the Schrödinger operator with slowly decaying attractive potential. The main results are Rellich’s theorem, the limiting absorption principle and Sommerfeld’s uniqueness theorem. For the proofs we employ an elementary commutator method due to Ito–Skibsted, for which neither of microlocal or functional-analytic techniques is required.