Abstract

We prove unique continuation inequalities for the solutions of the Schrödinger equations associated with the Dunkl Laplacian and the Dunkl-Hermite operator. While these results build upon the classical setting, extending into the Dunkl setting, the proofs deviate from the classical approach. Specifically, we opt for constructing dilates of sets instead of translates. These modifications are done to address the translation non-invariance of the associated measure.

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