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

Introduction 1. Preliminaries 2. Noncommutative Hilbert space valued $L_p$-spaces and square function estimates 3. Criteria for maximal inequalities of Fourier multipliers 4. Convergences of Fourier series on quantum groups 5. More concrete examples