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Mathematics

D-Index
31
Citations
4309
World Ranking
3328
National Ranking
1306

Overview

Deguang Han is a researcher affiliated with the University of Central Florida in the United States. Their work spans interdisciplinary fields centered primarily on mathematics and computer science, with a focus on applied mathematics and computer vision. Their research also engages with mathematical physics, radiation, and atomic and molecular physics, emphasizing optics.

Their recent scientific output includes publications in several specialized mathematics and analysis journals. Notable papers comprise "Injective continuous frames and quantum detections" (2020) published in Banach Journal of Mathematical Analysis; "Quantum injectivity of multi-window Gabor frames in finite dimensions" (2022) featured in Annals of Functional Analysis; and "Structural Properties of Homomorphism Dilation Systems" (2020) appearing in Chinese Annals of Mathematics Series B. These works represent part of a broader corpus that integrates advanced mathematical frameworks and quantum theory concepts.

Deguang Han frequently collaborates with a number of coauthors, including Youfa Li, Rui Liu, David R. Larson, Qianfeng Hu, and Shengli Fan. The volume of collaboration indicates a sustained engagement with peers primarily in mathematical and computational research domains.

Their publications appear prominently in venues such as:

  • arXiv (Cornell University)
  • Journal of Functional Analysis
  • Journal of Fourier Analysis and Applications
  • Expositiones Mathematicae
  • Chinese Annals of Mathematics Series B

Their core fields of study are:

  • Mathematics
  • Computer Science

With a closer view on subfields, Deguang Han's work is distributed across:

  • Applied Mathematics
  • Computer Vision and Pattern Recognition
  • Mathematical Physics
  • Radiation
  • Atomic and Molecular Physics, and Optics

The primary topics that characterize their research contributions include:

  • Mathematical Analysis and Transform Methods
  • Optical measurement and interference techniques
  • Image and Signal Denoising Methods
  • Advanced X-ray Imaging Techniques
  • Spectral Theory in Mathematical Physics
  • Advanced Operator Algebra Research
  • Digital Holography and Microscopy

This profile reflects an active research agenda combining abstract mathematical techniques with applied physical measurement methods and computational imaging technologies.

Best Publications

  • Frames, bases, and group representations

    Deguang Han;David R. Larson

  • Frames Associated with Measurable Spaces

    Jean-Pierre Gabardo;Deguang Han

  • Frames for Undergraduates

    Deguang Han

  • ON THE SPECTRA OF A CANTOR MEASURE

    Dorin Ervin Dutkay;Deguang Han;Qiyu Sun

  • Lattice tiling and the Weyl-Heisenberg frames

    Deguang Han;Yang Wang

  • ON THE BEURLING DIMENSION OF EXPONENTIAL FRAMES

    Dorin Ervin Dutkay;Deguang Han;Qiyu Sun;Eric Weber

  • Riesz bases and their dual modular frames in Hilbert C∗-modules

    Deguang Han;Wu Jing;David Larson;Ram N. Mohapatra

  • FRAME REPRESENTATIONS FOR GROUP-LIKE UNITARY OPERATOR SYSTEMS

    Jean-Pierre Gabardo;Deguang Han

  • Divergence of the mock and scrambled Fourier series on fractal measures

    Dorin Ervin Dutkay;Deguang Han;Qiyu Sun

  • Optimal dual frames for erasures

    Jerry Lopez;Deguang Han

  • Perturbation of frames and Riesz bases in Hilbert C∗-modules

    Deguang Han;Wu Jing;Ram N. Mohapatra

  • Optimal Dual Frames for Communication Coding With Probabilistic Erasures

    Jinsong Leng;Deguang Han;Tingzhu Huang

  • Balian–Low phenomenon for subspace Gabor frames

    Jean-Pierre Gabardo;Deguang Han

  • The uniqueness of the dual of Weyl-Heisenberg subspace frames

    Jean-Pierre Gabardo;Deguang Han

  • Subspace Weyl-Heisenberg frames

    Jean-Pierre Gabardo;Deguang Han

  • Frame wavelets in subspaces of ²(ℝ^{})

    X. Dai;Y. Diao;Q. Gu;Q. Gu;D. Han;D. Han

  • The Balian–Low theorem for symplectic lattices in higher dimensions

    Karlheinz Gröchenig;Deguang Han;Christopher Heil;Gitta Kutyniok

  • Optimal dual frames for erasures II

    Unknown

  • Frame representations and Parseval duals with applications to Gabor frames

    Deguang Han

  • Operator-Valued Measures, Dilations, and the Theory of Frames

    Deguang Han;David R. Larson;Bei Liu;Rui Liu

  • On multiresolution analysis (MRA) wavelets in ℝ n

    Qing Gu;Qing Gu;Deguang Han;Deguang Han

Frequent Co-Authors

Qiyu Sun
Qiyu Sun University of Central Florida
Palle E. T. Jorgensen
Palle E. T. Jorgensen University of Iowa
Ting-Zhu Huang
Ting-Zhu Huang University of Electronic Science and Technology of China
Yang Wang
Yang Wang Hong Kong University of Science and Technology
xin li
xin li Louisiana State University
Gitta Kutyniok
Gitta Kutyniok Ludwig-Maximilians-Universität München
Karlheinz Gröchenig
Karlheinz Gröchenig University of Vienna
Christopher Heil
Christopher Heil Georgia Institute of Technology

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