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Uncertainty principles for locally compact quantum groups |
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| Authors: | Chunlan Jiang Zhengwei Liu Jinsong Wu |
| Institution: | 1. Department of Mathematics, Hebei Normal University, Shijiazhuang, Hebei 050024, PR China;2. Department of Mathematics and Department of Physics, Harvard University, Cambridge 02138, USA;3. Institute for Advanced Study in Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, PR China |
| Abstract: | In this paper, we prove the Donoho–Stark uncertainty principle for locally compact quantum groups and characterize the minimizer which are bi-shifts of group-like projections. We also prove the Hirschman–Beckner uncertainty principle for compact quantum groups and discrete quantum groups. Furthermore, we show Hardy's uncertainty principle for locally compact quantum groups in terms of bi-shifts of group-like projections. |
| Keywords: | Uncertainty principle Locally compact quantum group Group-like projection Fourier transform |
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