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Uncertainty principles for the imaginary Ornstein-Uhlenbeck operator

Published 16 Jun 2024 in math.AP | (2406.10766v2)

Abstract: We prove two forms of uncertainty principle for the Schr\"odinger group generated by the Ornstein-Uhlenbeck operator. As a consequence, we derive a related (in fact, equivalent) result for the imaginary harmonic oscillator.

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