The Noncommutative Fourier Transform

Zhengwei Liu Department of Mathematics and Department of Physics, Harvard University Cambridge, Cambridge 02138, U.S.A Jinsong Wu School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, P. R. China

Functional Analysis mathscidoc:2207.12001

Acta Mathematica Sinica, Chinese Series, 60, (1), 81-96, 2017.1
We present the recent work on the noncommutative Fourier transform for subfactors and locally compact quantum groups, a Survey.We give a short introduction to subfactors and locally compact quantum groups and their properties;the Hausdorff-Young inequality and its extremal functions;Young's inequality and its extremal pairs;uncertainty principles and its minimizers;a noncommutative sum set theorem.
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  title={The Noncommutative Fourier Transform},
  author={Zhengwei Liu, and Jinsong Wu},
  booktitle={Acta Mathematica Sinica, Chinese Series},
Zhengwei Liu, and Jinsong Wu. The Noncommutative Fourier Transform. 2017. Vol. 60. In Acta Mathematica Sinica, Chinese Series. pp.81-96.
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