Abstract
In a half-space we consider the Hermite Schrodinger equation with given boundary values. We prove a formula that links the solution of this problem to that of the classical Schrodinger equation. It shows that mixed norm estimates for the Hermite- Schrodinger equation can be obtained immediately from those known in the classical case. In one space dimension, we deduce sharp pointwise convergence results at the boundary, by means of this link.
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