Deguang Han

Applied Mathematics · 2000–2013

A researcher in the Science corpus: 14 papers; trusts 26 researchers and is trusted by 29 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 54 citations into it; #703 of 7,620 by trust here, #388 by citations
• Mathematical Physics — 35 citations into it; #2,915 of 8,562 by trust here, #1,322 by citations
• Computational Theory and Mathematics — 11 citations into it
• Signal Processing — 9 citations into it; #1,461 of 7,572 by trust here, #1,904 by citations
• Computer Vision and Pattern Recognition — 8 citations into it; #5,732 of 21,575 by trust here, #8,502 by citations
• Numerical Methods & Scientific Computing — 6 citations into it
• Statistical and Nonlinear Physics — 6 citations into it; #6,054 of 10,127 by trust here, #4,633 by citations

Whom Deguang Han trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Ole W. Christensen
2. Ingrid Daubechies
3. Jean-Pierre Gabardo
4. Vern I. Paulsen
5. Robert S. Strichartz
6. Karlheinz Gröchenig
7. Akram Aldroubi
8. D. Larson
9. Dorin Ervin Dutkay
10. Qiyu Sun

Who trusts Deguang Han overall

1. Christopher Heil
2. Xin-Rong Dai
3. D. Larson
4. Jean-Pierre Gabardo
5. M. Frank
6. Akram Aldroubi
7. V. Kaftal
8. Chun-Kit Lai
9. Xinggang He
10. Joseph M. Renes

Papers from Deguang Han's perspective

Ordered by how strongly the researchers Deguang Han trusts endorse each paper. Same corpus, a different order for every researcher.

1. Pseudo-Duals of Frames with Applications
2. The wavelet transform, time-frequency localization and signal analysis
3. Ten Lectures on Wavelets
4. p-Frames and Shift Invariant Subspaces of Lp
5. The uniqueness of the dual of Weyl-Heisenberg subspace frames
6. Completely Bounded Maps and Operator Algebras: Contents
7. Finite Normalized Tight Frames (Advances in Computational Mathematics)
8. Theory of operator algebras
9. Universal spectra, universal tiling sets and the spectral set conjecture
10. Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces

Their papers

• Divergence of the mock and scrambled Fourier series on fractal measures (2013) — 84 citations
• Operator-Valued Measures, Dilations, and the Theory of Frames (2011) — 61 citations
• ON THE BEURLING DIMENSION OF EXPONENTIAL FRAMES (2010) — 106 citations
• Sampling Expansions in Reproducing Kernel Hilbert and Banach Spaces (2009) — 54 citations
• ON THE SPECTRA OF A CANTOR MEASURE (2008) — 173 citations
• Frame representations and Parseval duals with applications to Gabor frames (2008) — 53 citations
• Frames for Undergraduates (2007) — 204 citations
• The uniqueness of the dual of Weyl-Heisenberg subspace frames (2004) — 59 citations
• Balian–Low phenomenon for subspace Gabor frames (2004) — 68 citations
• FRAME REPRESENTATIONS FOR GROUP-LIKE UNITARY OPERATOR SYSTEMS (2003) — 90 citations
• The Balian–Low theorem for symplectic lattices in higher dimensions (2002) — 63 citations
• Lattice tiling and the Weyl—Heisenberg frames (2001) — 100 citations
• On multiresolution analysis (MRA) wavelets in ℝn (2000) — 54 citations
• Frames, bases, and group representations (2000) — 623 citations