Abstract
The purpose of this paper is to establish a local uncertainty inequality for arbitrary connected, simply connected nilpotent Lie groups. This allows us to prove a couple of global uncertainty inequalities. In the nilpotent case, this type of result is only obtained for the Heisenberg group.
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Funding
This work was supported by the General Direction of Scientific Research and Technological Renovation (D. G. R. S. R. T.) under Research Lab grant no. LR11ES2502.
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Smaoui, K. Inequalities and Local Uncertainty Principles for Nilpotent Lie Groups. Math Notes 106, 429–438 (2019). https://doi.org/10.1134/S0001434619090128
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DOI: https://doi.org/10.1134/S0001434619090128