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The Green function C of the Schrödinger operator with a magnetic field (i.e. the Landau operator) H is studied. Two representations of G are used, namely in form of an integral and of a series. The space-variable asymptotics as well as the energetic ones are obtained. The analytical and asymptotical properties of C we obtain are related to point perturbations of H.

On the Green Function of the Landau Operator and its Properties Related to Point Interactions