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Resolvent estimates for the magnetic Schrödinger operator in dimensions ≥2

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Resolvent estimates for the magnetic Schrödinger operator in dimensions ≥2

It is well known that the resolvent of the free Schrödinger operator on weighted L2 spaces has norm decaying like λ−12 at energy λ . There are several works proving analogous high frequency estimates for magnetic Schrödinger operators, with large long or short range potentials, in dimensions n≥3 . We prove that the same estimates remain valid in all dimensions n≥2 .

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