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D-Index & Metrics

Mathematics

D-Index
31
Citations
4309
World Ranking
3329
National Ranking
1306

Deguang Han publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Deguang Han sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 151 publications — 39th percentile

39% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Deguang Han D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Deguang Han sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 31 D-Index — 9th percentile

9% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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