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Uncertainty principles for locally compact quantum groups

Chunlan Jiang Zhengwei Liu Jinsong Wu

Spectral Theory and Operator Algebra mathscidoc:1912.431049

Journal of Functional Analysis, 274, (8), 2399-2445, 2018.4
In this paper, we prove the DonohoStark uncertainty principle for locally compact quantum groups and characterize the minimizer which are bi-shifts of group-like projections. We also prove the HirschmanBeckner 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.
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@inproceedings{chunlan2018uncertainty,
  title={Uncertainty principles for locally compact quantum groups},
  author={Chunlan Jiang, Zhengwei Liu, and Jinsong Wu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211525792646613},
  booktitle={Journal of Functional Analysis},
  volume={274},
  number={8},
  pages={2399-2445},
  year={2018},
}
Chunlan Jiang, Zhengwei Liu, and Jinsong Wu. Uncertainty principles for locally compact quantum groups. 2018. Vol. 274. In Journal of Functional Analysis. pp.2399-2445. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211525792646613.
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