Pointwise Convergence of Noncommutative Fourier Series

Guixiang Hong, Harbin Institute of Technology, People's Republic of China, Simeng Wang, Harbin Institute of Technology, People's Republic of China, and Xuemin Wang, Seoul National University, Republic of Korea

• Introduction1. Preliminaries2. Noncommutative Hilbert space valued $L_p$-spaces and square function estimates3. Criteria for maximal inequalities of Fourier multipliers4. Convergences of Fourier series on quantum groups5. More concrete examples