activity
20062023
most citedOperator-Valued Measures, Dilations, and the Theory of Frames

48 citations · 114 across the 28 of their papers we have counts for

collaborators

29 papers

math.FA2023★ 1 cited

Single-shot phase retrieval: a holography-driven problem in Sobolev space

Youfa Li, Shengli Fan, Deguang Han

The phase-shifting digital holography (PSDH) is a widely used approach for recovering signals by their interference (with reference waves) intensity measurements. Such measurements…

math.FA2022

Determination of compactly supported functions in shift-invariant space by single-angle Radon samples

Youfa Li, Shengli Fan, Deguang Han

While traditionally the computerized tomography of a function depends on the samples of its Radon transform at multiple angles, the real-time imaging s…

cs.IT2022

Phase retrieval of analytic signals from short-time Fourier transform measurements

Youfa Li, Hongfei Wang, Deguang Han

Analytic signals constitute a class of signals that are widely applied in time-frequency analysis such as extracting instantaneous frequency (IF) or phase derivative in the charact…

math.FA2021

Dilations for operator-valued quantum measures

Deguang Han, Qianfeng Hu, David R. Larson +1

This paper concerns the dilations of Banach space operator-valued quantum measures. While the recently developed general dilation theory can lead to a projection (idempotent) value…

eess.SP2021

FROG-measurement based phase retrieval for analytic signals

Youfa Li, Yaoshuai Ma, Deguang Han

While frequency-resolved optical gating (FROG) is widely used in characterizing the ultrafast pulse in optics, analytic signals are often considered in time-frequency analysis and…

math.FA2020

Gabor single-frame and multi-frame multipliers in any given dimension

Yuanan Diao, Deguang Han, Zhongyan Li

Functional Gabor single-frame or multi-frame generator multipliers are the matrices of function entries that preserve Parseval Gabor single-frame or multi-frame generators. An inte…