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.

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

Zhengwei Liu, Jinsong Wu, Extremal pairs of Young's inequality for Kac algebras. March 2018, Pacific Journal of Mathematics 295(1):103-121

Chunlan Jiang, Zhengwei Liu, Jinsong Wu, Uncertainty principles for locally compact quantum groups. September 2017, Journal of Functional Analysis 274(8):2399-2445
 

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.

Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski, Holographic Software for Quantum Networks. Science China Mathematics 61.4 (2018), 593-626. arXiv: 1605.00127

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

Zhengwei Liu, Exchange relation planar algebras of small rank. Transactions of the American Mathematical Society 

368 (2016), 8303-8348 arXiv: 1308.5656