Deguang Han

Dr. Deguang Han is a Professor in the Department of Mathematics at the University of Central Florida (UCF), part of the College of Sciences. His research focuses on Functional Analysis, Operator Algebras, Frame Theory, and Applied Harmonic Analysis, with applications to quantum information and signal/image processing. He holds editorial roles at journals such as the Banach Journal of Mathematical Analysis and Operators and Matrices.

His work bridges pure and applied mathematics, addressing theoretical questions in operator theory while developing practical tools for signal reconstruction and quantum channel analysis. Notable contributions include advancements in phase retrieval, operator-valued frames, and harmonic analysis on fractals.

Recent research trends emphasize quantum channel applications, phase retrieval uniqueness, and dilation theory for operator-valued measures. His publications reflect a commitment to both foundational theory and real-world signal processing challenges.

Dr. Han collaborates internationally and is actively involved in the academic community through editorial work and conference participation.