Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Associate Professor Cheng Cheng ,School of Mathematics, Sun Yat-sen University
Inviter:	Professor ZhiqiangXu
Title:	Phase retrieval in infinite-dimensional spaces
Language:	Chinese
Time & Venue:	2023.08.18 15:00-16:00 N702
Abstract:	Phase retrieval is widely used in optics, X-ray crystallography, holographic imaging and other applications, it is one of the new research topic in applied and computational harmonic analysis. In this talk, I will introduce some results on phase retrieval in shift-invariant spaces, and the stable phase retrieval in infinite-dimensional spaces. I will also introduce a new phase retrieval paradigm in the vector-valued setting, which is motivated by complex conjugate phase retrieval of vectors in the complex range space of a real matrix and functions in the complex Paley-Wiener space, and also by determination of a vector field defined on a graph from their relative magnitudes between neighboring vertices.