Sharp uniqueness results for discrete evolutions
Yurii I. Lyubarskii
The Norwegian University of Science and Technology (NTNU), Trondheim, NorwayEugenia Malinnikova
Norwegian University of Science and Technology (NTNU), Trondheim, Norway

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Abstract
We prove sharp uniqueness results for a wide class of one-dimensional discrete evolutions. The proof is based on a construction from the theory of complex Jacobi matrices combined with growth estimates of entire functions.