Non-Commutative Fourier Analysis

  • String Fourier Transform (1)
  • The Hausdorff-Young inequality.
  • Zhengwei, Arthur and Jinsong at the IWOTA 2018 conference on operator algebras at East China Normal University in Shanghai.

    Zhengwei, Arthur and Jinsong at the IWOTA 2018 conference on operator algebras at East China Normal University in Shanghai.

Jinsong Wu, Quantum Fourier Analysis (Talk),  International Workshop on Operator Theory and Applications 2018

Zhengwei Liu and Jinsong Wu, Antisymmetric Characters and Fourier Duality, arXiv:1805.04783

Arthur Jaffe and Zhengwei Liu, A Mathematical Picture Language Program, Proceedings of the National Academy of Sciences 115(1) (2018), 81–86.

Zhengwei Liu, Simeng Wang, and Jinsong Wu, Young’s inequality for locally compact quantum groups. Journal of Operator Theory, 77(1) (2017), 109131.

Zhengwei Liu and Jinsong Wu, Uncertainty principle for Kac algebras, Journal of Mathematical Physics 58(5) (2017), 052102.

Zhengwei Liu and Jinsong Wu, The Noncommutative Fourier Transform: A survey, Acta Mathematica Sinica Chinese Series, (In honor of the 75th birthday of Bingren Li) 60(1) (2017), 69–80.

Arthur Jaffe and Zhengwei Liu, Planar Para Algebras, Reflection Positivity, Commun. Math. Phys. 352 (2017), 95–133.

Zhengwei Liu, Quon Language: Surface Algebras and Fourier Duality. arXiv: 1707.03995

Jiang, Chunlan, Zhengwei Liu, and Jinsong Wu: Noncommutative uncertainty principles. Journal of Functional Analysis 270.1 (2016): 264-311. arXiv: 1408.1165

Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski, Holographic Software for Quantum Networks. arXiv: 1605.00127