Abstract
In this paper, we calculate the norm of the string Fourier transform on subfactor planar algebras and characterize the extremizers of the inequalities for parameters 0 < p,q ⩽ ∞. Furthermore, we establish Rényi entropic uncertainty principles for subfactor planar algebras.
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Acknowledgements
The first author was supported by Templeton Religion Trust (Grant No. TRT 0159). The second author was supported by National Natural Science Foundation of China (Grant No. 11771413) and Templeton Religion Trust (Grant No. TRT 0159). Part of the work was done during visits of Zhengwei Liu and Jinsong Wu to Hebei Normal University and of Jinsong Wu to Harvard University. The authors thank the referees for careful reading.
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Liu, Z., Wu, J. Non-commutative Rényi entropic uncertainty principles. Sci. China Math. 63, 2287–2298 (2020). https://doi.org/10.1007/s11425-019-9523-4
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DOI: https://doi.org/10.1007/s11425-019-9523-4