Dr. Au-Yeung earned his PhD in Mathematics from the University of Maryland at College Park in May 2011. He then held a postdoctoral fellowship at the Pacific Institute for the Mathematical Sciences, before joining the faculty at DePaul University in 2014.
Dr. Au-Yeung's research interests are in pure and applied harmonic analysis, mathematical signal processing, functional analysis, random matrices, and the geometry of Banach spaces.
Selected Publications:
- Sparse signal recovery using a new class of random matrices
Adv. Pure Appl. Math. 8 (2017), no. 2, 79-89.
- Generalized Fourier frames in terms of balayage
J. Fourier Anal. Appl. 21 (2015), no. 3, 472-508 (with J. Benedetto).
- Tight frames, partial isometries, and signal reconstruction
Appl. Anal. 94 (2015), no. 4, 653-671 (with S. Datta).
- Signal recovery and frames that are robust to erasure
Appl. Math. Lett. 35 (2014), 67-71.
- Balayage and pseduo-differential operator frame inequalities
Proceedings of 11th International Conference of Sampling Theory and Applications, 2015 (with J. Benedetto).