Quantum 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.

  • Hausdorff-Young Phase Diagram

Zhengwei Liu, Sebastian Palcaux, and Jinsong Wu, Fusion Bialgebras and Fourier Analysis, arXiv:1910.12059.

Chunlan Jiang, Zhengwei Liu, and Jinsong Wu, Block maps and Fourier analysis. Feb 2018, Science China Mathematics, arxiv:1706.03551.

Zhengwei Liu and Jinsong Wu, Extremal Pairs of Young’s Inequality for Kac Algebras, Pacific Journal of Mathematics 295 (2018), 103–121.

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 (2018), 81–86.

Arthur Jaffe, Zhengwei Liu, and Alex Wozniakowski, Holographic Software for Quantum Networks, Science China Mathematics 61 (2018), 593–626.

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

Chunlan Jiang, Zhengwei Liu, and Jinsong Wu, Uncertainty principles for locally compact quantum groups, Journal of Functional Analysis 274 (2017) 2399-2445.

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 (2017), 69–80.

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

Arthur Jaffe and Zhengwei Liu, Planar Para Algebras, Reflection Positivity, Communications in Mathematical Physics 352 (2017), 95–133.

Zhengwei Liu, Quon Language: Surface Algebras and Fourier Duality, arXiv:1707.03995Communications in Mathematical Physics 366 (2019), 865–894.

Chunlan Jiang, Zhengwei Liu, and Jinsong Wu, Noncommutative uncertainty principles, arXiv:1408.1165Journal of Functional Analysis 270 (2016), 264–311.

Zhengwei Liu, Exchange relation planar algebras of small rank, arXiv:1308.5656Transactions of the American Mathematical Society 368 (2016), 8303-8348.