# zbMATH — the first resource for mathematics

## Han, Deguang

Compute Distance To:
 Author ID: han.deguang Published as: Han, Deguang; Han, D.; Han, De Guang; Han, DeGuang
 Documents Indexed: 148 Publications since 1980, including 4 Books
all top 5

#### Co-Authors

 36 single-authored 22 Larson, David Royal 14 Gu, Qing 12 Dutkay, Dorin Ervin 8 Gabardo, Jean-Pierre 6 Dai, Xingde 6 Diao, Yuanan 6 Li, Pengtong 6 Liu, Rui 6 Mohapatra, Ram Narayan 6 Sun, Qiyu 5 Li, Zhongyan 5 Sun, Wenchang 5 Tang, Wai-Shing 5 Weber, Eric S. 4 Jing, Wu 4 Leng, Jinsong 4 Li, Youfa 4 Liu, Bei 3 Hou, Chengjun 3 Jørgensen, Palle E. T. 3 Juste, Ted 3 Kim, Young Suh 3 Noz, Marilyn Eileen 3 Picioroaga, Gabriel 2 Cheng, Chuangxun 2 Huang, Ting-Zhu 2 Lopez, Jerry 2 Lv, Fusheng 2 Papadakis, Manos 2 Pehlivan, Saliha 2 Wang, Yang 2 Wogen, W. 1 Adler, James H. 1 Brennan, Joseph Phillip 1 Casazza, Peter George 1 Dorfmann, Luis 1 Garrigós, Gustavo 1 Ge, Liming 1 Gong, Weibang 1 Gröchenig, Karlheinz 1 Guo, Xunxiang 1 Hadwin, Donald W. 1 Hammond, Mark 1 Hardekopf, E. E. 1 Heil, Christopher E. 1 Hernandez, Eugenio 1 Hu, Qianfeng 1 Huang, Ganji 1 Kornelson, Keri A. 1 Kutyniok, Gitta 1 Li, Fengjie 1 Li, Lan 1 Li, Yunzhang 1 Liang, Rufeng 1 Limaye, Balmohan Vishnu 1 Lu, Shijin 1 Luef, Franz 1 Ma, Yaoshuai 1 MacLachlan, Scott P. 1 Meng, Bin 1 Nashed, M. Zuhair 1 Paetsch, C. 1 Paluszyński, Maciej 1 Scholze, Sam 1 Šikić, Hrvoje 1 Son, D. 1 Speegle, Darrin M. 1 Stavropoulos, Theodoros 1 Wei, Shuyun 1 Weiland, David 1 Weiss, Guido L. 1 Yang, Shouzhi 1 Yeh, Leehwa 1 Zayed, Ahmed I. 1 Zhou, Jiayun
all top 5

#### Serials

 15 Proceedings of the American Mathematical Society 12 Journal of Functional Analysis 9 Linear Algebra and its Applications 9 Applied and Computational Harmonic Analysis 9 The Journal of Fourier Analysis and Applications 7 Journal of Qufu Normal University. Natural Science 6 Transactions of the American Mathematical Society 5 Journal of Mathematical Physics 4 Science China. Mathematics 3 Journal of Mathematical Analysis and Applications 3 Acta Mathematica Sinica 3 Advances in Mathematics 3 Chinese Annals of Mathematics. Series B 3 Acta Applicandae Mathematicae 3 Advances in Computational Mathematics 2 Computers & Mathematics with Applications 2 Journal of Computational and Applied Mathematics 2 Journal of Optimization Theory and Applications 2 Memoirs of the American Mathematical Society 2 Numerical Functional Analysis and Optimization 2 Journal of Operator Theory 2 Acta Mathematica Sinica. English Series 1 Houston Journal of Mathematics 1 IEEE Transactions on Information Theory 1 IMA Journal of Applied Mathematics 1 Information Processing Letters 1 Physics Letters. A 1 Applied Mathematics and Optimization 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Mathematische Annalen 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Acta Mathematicae Applicatae Sinica 1 Chinese Annals of Mathematics. Series A 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Northeastern Mathematical Journal 1 IEEE Transactions on Signal Processing 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Acta Mathematica Sinica. New Series 1 Nuclear Physics, B, Proceedings Supplements 1 Stochastic Environmental Research and Risk Assessment 1 Progress of Theoretical Physics 1 Contemporary Mathematics 1 Student Mathematical Library 1 Acta Mathematica Sinica. Chinese Series 1 Operators and Matrices 1 Banach Journal of Mathematical Analysis
all top 5

#### Fields

 90 Harmonic analysis on Euclidean spaces (42-XX) 68 Functional analysis (46-XX) 68 Operator theory (47-XX) 12 Information and communication theory, circuits (94-XX) 8 Quantum theory (81-XX) 6 Measure and integration (28-XX) 5 Topological groups, Lie groups (22-XX) 5 Approximations and expansions (41-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Abstract harmonic analysis (43-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Numerical analysis (65-XX) 3 Computer science (68-XX) 3 Operations research, mathematical programming (90-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

113 Publications have been cited 1,590 times in 767 Documents Cited by Year
Frames, bases and group representations. Zbl 0971.42023
Han, Deguang; Larson, David R.
2000
Frames for Banach spaces. Zbl 0947.46010
Casazza, Peter G.; Han, Deguang; Larson, David R.
1999
On the spectra of a Cantor measure. Zbl 1173.28003
Dutkay, Dorin Ervin; Han, Deguang; Sun, Qiyu
2009
Frames associated with measurable spaces. Zbl 1033.42036
Gabardo, Jean-Pierre; Han, Deguang
2003
Frames for undergraduates. Zbl 1143.42001
Han, Deguang; Kornelson, Keri; Larson, David; Weber, Eric
2007
Frame representations for group-like unitary operator systems. Zbl 1027.46092
Gabardo, Jean Pierre; Han, Deguang
2003
On the Beurling dimension of exponential frames. Zbl 1209.28010
Dutkay, Dorin Ervin; Han, Deguang; Sun, Qiyu; Weber, Eric
2011
Lattice tiling and the Weyl-Heisenberg frames. Zbl 0992.42021
Han, Deguang; Wang, Yang
2001
Subspace Weyl-Heisenberg frames. Zbl 0983.42022
Gabardo, Jean-Pierre; Han, Deguang
2001
Frame wavelets in subspaces of $$L^2(\mathbb R^d)$$. Zbl 1004.42025
Dai, X.; Diao, Y.; Gu, Q.; Han, D.
2002
Balian-Low phenomenon for subspace Gabor frames. Zbl 1071.42022
Gabardo, Jean-Pierre; Han, Deguang
2004
Frame representations and Parseval duals with applications to Gabor frames. Zbl 1213.42110
Han, Deguang
2008
Basic properties of wavelets. Zbl 0934.42024
Dai, Xingde; Gu, Qing; Han, Deguang; Larson, David; Liang, Rufeng; Lu, Shijin; Speegle, Darrin; Garrigós, Gustavo; Hernández, Eugenio; Paluszyński, Maciej; Papadakis, Manos; Šikić, Hrvoje; Weiland, David; Weiss, Guido
1998
The uniqueness of the dual of Weyl–Heisenberg subspace frames. Zbl 1064.42021
Gabardo, Jean-Pierre; Han, Deguang
2004
Optimal dual frames for erasures. II. Zbl 1235.42028
Leng, Jinsong; Han, Deguang
2011
Orthogonal exponentials, translations, and Bohr completions. Zbl 1180.42018
Dutkay, Dorin Ervin; Han, Deguang; Jorgensen, Palle E. T.
2009
On multiresolution analysis (MRA) wavelets in $$\mathbb{R}^n$$. Zbl 0964.42021
Gu, Qing; Han, Deguang
2000
Sampling expansions in reproducing kernel Hilbert and Banach spaces. Zbl 1183.42032
Han, Deguang; Nashed, M. Zuhair; Sun, Qiyu
2009
Divergence of the mock and scrambled Fourier series on fractal measures. Zbl 1406.42008
Dutkay, Dorin Ervin; Han, Deguang; Sun, Qiyu
2014
Optimal dual frames for erasures. Zbl 1181.42034
Lopez, Jerry; Han, Deguang
2010
Optimal dual frames for communication coding with probabilistic erasures. Zbl 1393.94747
Leng, Jinsong; Han, Deguang; Huang, Tingzhu
2011
Wandering vector multipliers for unitary groups. Zbl 0981.46049
Han, Deguang; Larson, D.
2001
Super-wavelets and decomposable wavelet frames. Zbl 1099.42028
Gu, Qing; Han, Deguang
2005
The Balian-Low theorem for symplectic lattices in higher dimensions. Zbl 1017.42027
Gröchenig, Karlheinz; Han, Deguang; Heil, Christopher; Kutyniok, Gitta
2002
Classification of finite group-frames and super-frames. Zbl 1141.42317
Han, Deguang
2007
Reconstruction of signals from frame coefficients with erasures at unknown locations. Zbl 1360.94072
Han, Deguang; Sun, Wenchang
2014
Riesz bases and their dual modular frames in Hilbert $$C^*$$-modules. Zbl 1185.46040
Han, Deguang; Jing, Wu; Larson, David; Mohapatra, Ram N.
2008
Approximations for Gabor and wavelet frames. Zbl 1021.42021
Han, Deguang
2003
Inexact operator splitting methods with selfadaptive strategy for variational inequality problems. Zbl 1149.49010
Han, D.
2007
The existence of subspace wavelet sets. Zbl 1016.42020
Dai, X.; Diao, Y.; Gu, Q.; Han, D.
2003
Operator-valued measures, dilations, and the theory of frames. Zbl 1323.46031
Han, Deguang; Larson, David R.; Liu, Bei; Liu, Rui
2014
Continuous and discrete Fourier frames for fractal measures. Zbl 1364.28006
Dutkay, Dorin Ervin; Han, Deguang; Weber, Eric
2014
Constructing super Gabor frames: the rational time-frequency lattice case. Zbl 1206.42036
Li, Zhongyan; Han, Deguang
2010
Multiresolution analyses of abstract Hilbert spaces and wandering subspaces. Zbl 0948.42023
Han, D.; Larson, D. R.; Papadakis, Manos; Stavropoulos, Th.
1999
Aspects of Gabor analysis and operator algebras. Zbl 1033.42035
Gabardo, Jean-Pierre; Han, Deguang
2003
A modified alternating direction method for variational inequality problems. Zbl 1098.90537
Han, D.
2002
Bessel sequences of exponentials on fractal measures. Zbl 1229.28011
Dutkay, Dorin Ervin; Han, Deguang; Weber, Eric
2011
Frame duality properties for projective unitary representations. Zbl 1200.42022
Han, Deguang; Larson, David
2008
Perturbation of frames and Riesz bases in Hilbert $$C^*$$-modules. Zbl 1173.46039
Han, Deguang; Jing, Wu; Mohapatra, Ram N.
2009
The s-elementary frame wavelets are path connected. Zbl 1053.46054
Dai, X.; Diao, Y.; Gu, Q.; Han, D.
2004
Operator valued frames and structured quantum channels. Zbl 1245.42024
Han, DeGuang; Li, PengTong; Meng, Bin; Tang, WaiShing
2011
Exponential stability of functional differential systems with impulsive effect on random moments. Zbl 1096.34060
Wu, S. J.; Han, D.
2005
Tight frame approximation for multi-frames and super-frames. Zbl 1048.42028
Han, Deguang
2004
The existence of Gabor bases and frames. Zbl 1058.42022
Han, Deguang; Wang, Yang
2004
Linearly connected sequences and spectrally optimal dual frames for erasures. Zbl 1296.42019
Pehlivan, Saliha; Han, Deguang; Mohapatra, Ram
2013
Discrete Gabor frames in $$\ell^2(\mathbb Z^d)$$. Zbl 1278.42040
Lopez, Jerry; Han, Deguang
2013
When a characteristic function generates a Gabor frame. Zbl 1242.42023
Gu, Qing; Han, Deguang
2008
Orthonormal dilations of parseval wavelets. Zbl 1214.42069
Dutkay, Dorin Ervin; Han, Deguang; Picioroaga, Gabriel; Sun, Qiyu
2008
The existence of tight Gabor duals for Gabor frames and subspace Gabor frames. Zbl 1170.42015
Han, Deguang
2009
Dilations and completions for Gabor systems. Zbl 1163.42012
Han, Deguang
2009
Additive derivations of nest algebras. Zbl 0810.47040
Han, Deguang
1993
Wandering vectors for irrational rotation unitary systems. Zbl 0888.46045
Han, Deguang
1998
Frame wavelet sets in $${\mathbb{R}}^{d}$$. Zbl 1021.42019
Dai, X.; Diao, Y.; Gu, Q.; Han, D.
2003
A class of nonmonotone conjugate gradient methods for unconstrained optimization. Zbl 0956.90047
Liu, G. H.; Jing, L. L.; Han, L. X.; Han, D.
1999
Lattice tiling and density conditions for subspace Gabor frames. Zbl 1283.42044
Gabardo, Jean-Pierre; Han, Deguang; Li, Yun-Zhang
2013
A duality principle for groups. Zbl 1169.42011
Dutkay, Dorin; Han, Deguang; Larson, David
2009
On the orthogonality of frames and the density and connectivity of wavelet frames. Zbl 1175.42013
Han, Deguang; Larson, David R.
2009
Probability modelled optimal frames for erasures. Zbl 1280.42027
Leng, Jinsong; Han, Deguang; Huang, Tingzhu
2013
Sampling expansions for functions having values in a Banach space. Zbl 1083.46009
Han, DeGuang; Zayed, Ahmed I.
2005
Dilation of dual frame pairs in Hilbert $$C^*$$-modules. Zbl 1270.46050
Han, Deguang; Jing, Wu; Larson, David; Li, Pengtong; Mohapatra, Ram N.
2013
Continuity and linearity of additive derivations of nest algebras on Banach spaces. Zbl 0856.47028
Han, Deguang
1996
Derivations and isomorphisms of certain reflexive operator algebras. Zbl 0914.47043
Hou, Chengjun; Han, Deguang
1998
Centralizers and Jordan derivations for CSL subalgebras of von Neumann algebras. Zbl 1299.47070
Li, Pengtong; Han, Deguang; Tang, Wai-Shing
2013
Orthogonal projection decomposition of matrices and construction of fusion frames. Zbl 1263.42011
Leng, Jinsong; Han, Deguang
2013
$$O(3,3)$$-like symmetries of coupled harmonic oscillators. Zbl 0853.70013
Han, D.; Kim, Y. S.; Noz, Marilyn E.
1995
Wavelets with frame multiresolution analysis. Zbl 1030.42028
Dai, X.; Diao, Y.; Gu, Q.; Han, D.
2003
Eulerian parametrization of Wigner’s little groups and gauge transformations in terms of rotations in two-component spinors. Zbl 0607.22012
Han, D.; Kim, Y. S.; Son, D.
1986
On $${\mathcal A}$$-submodules for reflexive operator algebras. Zbl 0694.47031
Han, Deguang
1988
Dilations for systems of imprimitivity acting on Banach spaces. Zbl 1305.46008
Han, Deguang; Larson, David R.; Liu, Bei; Liu, Rui
2014
Recovery of signals from unordered partial frame coefficients. Zbl 1377.42034
Han, Deguang; Lv, Fusheng; Sun, Wenchang
2018
Lie-type higher derivations on operator algebras. Zbl 1341.47041
Han, D.
2014
Phase retrievable projective representation frames for finite abelian groups. Zbl 1440.42156
Li, Lan; Juste, Ted; Brennan, Joseph; Cheng, Chuangxun; Han, Deguang
2019
Spectrum of the products of operators and compact perturbations. Zbl 0842.47003
Gong, Weibang; Han, Deguang
1994
Local derivations of nest algebras. Zbl 0846.47029
Han, Deguang; Wei, Shuyun
1995
Spectrally two-uniform frames for erasures. Zbl 1342.42033
Pehlivan, Saliha; Han, Deguang; Mohapatra, Ram
2015
Dilations of frames, operator-valued measures and bounded linear maps. Zbl 1320.46039
Han, Deguang; Larson, David R.; Liu, Bei; Liu, Rui
2014
Structured Parseval frames in Hilbert $$C^*$$-modules. Zbl 1113.46055
Jing, Wu; Han, Deguang; Mohapatra, Ram N.
2006
Parseval frames for ICC groups. Zbl 1176.46019
Dutkay, Dorin Ervin; Han, Deguang; Picioroaga, Gabriel
2009
Symmetries of two-mode squeezed states. Zbl 0792.22010
Han, D.; Kim, Y. S.; Noz, Marilyn E.; Yeh, Leehwa
1993
Derivations on the algebra of operators in Hilbert $$C^*$$-modules. Zbl 1263.47042
Li, Peng Tong; Han, De Guang; Tang, Wai Shing
2012
Matrix Fourier multipliers for Parseval multi-wavelet frames. Zbl 1294.42005
Li, Zhongyan; Han, Deguang
2013
Unitary systems and Bessel generator multipliers. Zbl 1278.42043
Han, Deguang; Larson, David R.
2011
Continuous framings for Banach spaces. Zbl 1338.42045
Li, Fengjie; Li, Pengtong; Han, Deguang
2016
Dilations of operator-valued measures with bounded $$p$$-variations and framings on Banach spaces. Zbl 1391.46052
Han, Deguang; Larson, David R.; Liu, Rui
2018
Stable recovery of signals from frame coefficients with erasures at unknown locations. Zbl 1384.42021
Han, Deguang; Lv, Fusheng; Sun, Wenchang
2018
On twisted group frames. Zbl 07060514
Cheng, Chuangxun; Han, Deguang
2019
The first cohomology groups of nest algebras on normed spaces. Zbl 0802.47044
Han, Deguang
1993
Functional Gabor frame multipliers. Zbl 1029.42032
Gu, Qing; Han, Deguang
2003
Frames, modular functions for shift-invariant subspaces and FMRA wavelet frames. Zbl 1060.42027
Gu, Qing; Han, Deguang
2005
On a spectral characterization of rank one matrices. Zbl 0818.15002
Han, Deguang; Limaye, Balmohan V.
1991
Topological and geometric properties of refinable functions and MRA affine frames. Zbl 1221.42053
Han, Deguang; Sun, Qiyu; Tang, Wai-Shing
2011
Wavelet frames for (not necessarily reducing) affine subspaces. Zbl 1169.42017
Gu, Qing; Han, Deguang
2009
Phase-retrievable operator-valued frames and representations of quantum channels. Zbl 1434.46047
Han, Deguang; Juste, Ted
2019
Derivations and isomorphisms of some reflexive operator algebras. Zbl 1015.47050
Hou, Chengjun; Han, Deguang
1998
Phases for dyadic orthonormal wavelets. Zbl 1059.42029
Gu, Qing; Han, Deguang
2002
Mathematical and computational models of incompressible materials subject to shear. Zbl 1299.74155
Adler, J. H.; Dorfmann, L.; Han, D.; MacLachlan, S.; Paetsch, C.
2014
Frame vector multipliers for finite group representations. Zbl 1358.42028
Li, Zhongyan; Han, Deguang
2017
Wavelet frames for (not necessarily reducing) affine subspaces. II: The structure of affine subspaces. Zbl 1211.42032
Gu, Qing; Han, Deguang
2011
Joint similarities and parameterizations for Naimark complementary frames. Zbl 1390.42044
Guo, Xunxiang; Han, Deguang
2018
Frame phase-retrievability and exact phase-retrievable frames. Zbl 1430.42035
Han, Deguang; Juste, Ted; Li, Youfa; Sun, Wenchang
2019
A duality principle for groups. II: Multi-frames meet super-frames. Zbl 1455.42025
Balan, R.; Dutkay, D.; Han, D.; Larson, D.; Luef, F.
2020
Phase retrievable projective representation frames for finite abelian groups. Zbl 1440.42156
Li, Lan; Juste, Ted; Brennan, Joseph; Cheng, Chuangxun; Han, Deguang
2019
On twisted group frames. Zbl 07060514
Cheng, Chuangxun; Han, Deguang
2019
Phase-retrievable operator-valued frames and representations of quantum channels. Zbl 1434.46047
Han, Deguang; Juste, Ted
2019
Frame phase-retrievability and exact phase-retrievable frames. Zbl 1430.42035
Han, Deguang; Juste, Ted; Li, Youfa; Sun, Wenchang
2019
Functional matrix multipliers for Parseval Gabor multi-frame generators. Zbl 1419.42028
Li, Zhongyan; Han, Deguang
2019
Recovery of signals from unordered partial frame coefficients. Zbl 1377.42034
Han, Deguang; Lv, Fusheng; Sun, Wenchang
2018
Dilations of operator-valued measures with bounded $$p$$-variations and framings on Banach spaces. Zbl 1391.46052
Han, Deguang; Larson, David R.; Liu, Rui
2018
Stable recovery of signals from frame coefficients with erasures at unknown locations. Zbl 1384.42021
Han, Deguang; Lv, Fusheng; Sun, Wenchang
2018
Joint similarities and parameterizations for Naimark complementary frames. Zbl 1390.42044
Guo, Xunxiang; Han, Deguang
2018
Phase retrieval of real-valued functions in Sobolev space. Zbl 1440.42177
Li, You Fa; Han, De Guang
2018
Frame vector multipliers for finite group representations. Zbl 1358.42028
Li, Zhongyan; Han, Deguang
2017
A note on the density theorem for projective unitary representations. Zbl 1375.22004
Han, Deguang
2017
Continuous framings for Banach spaces. Zbl 1338.42045
Li, Fengjie; Li, Pengtong; Han, Deguang
2016
Spectrally two-uniform frames for erasures. Zbl 1342.42033
Pehlivan, Saliha; Han, Deguang; Mohapatra, Ram
2015
Divergence of the mock and scrambled Fourier series on fractal measures. Zbl 1406.42008
Dutkay, Dorin Ervin; Han, Deguang; Sun, Qiyu
2014
Reconstruction of signals from frame coefficients with erasures at unknown locations. Zbl 1360.94072
Han, Deguang; Sun, Wenchang
2014
Operator-valued measures, dilations, and the theory of frames. Zbl 1323.46031
Han, Deguang; Larson, David R.; Liu, Bei; Liu, Rui
2014
Continuous and discrete Fourier frames for fractal measures. Zbl 1364.28006
Dutkay, Dorin Ervin; Han, Deguang; Weber, Eric
2014
Dilations for systems of imprimitivity acting on Banach spaces. Zbl 1305.46008
Han, Deguang; Larson, David R.; Liu, Bei; Liu, Rui
2014
Lie-type higher derivations on operator algebras. Zbl 1341.47041
Han, D.
2014
Dilations of frames, operator-valued measures and bounded linear maps. Zbl 1320.46039
Han, Deguang; Larson, David R.; Liu, Bei; Liu, Rui
2014
Mathematical and computational models of incompressible materials subject to shear. Zbl 1299.74155
Adler, J. H.; Dorfmann, L.; Han, D.; MacLachlan, S.; Paetsch, C.
2014
Linearly connected sequences and spectrally optimal dual frames for erasures. Zbl 1296.42019
Pehlivan, Saliha; Han, Deguang; Mohapatra, Ram
2013
Discrete Gabor frames in $$\ell^2(\mathbb Z^d)$$. Zbl 1278.42040
Lopez, Jerry; Han, Deguang
2013
Lattice tiling and density conditions for subspace Gabor frames. Zbl 1283.42044
Gabardo, Jean-Pierre; Han, Deguang; Li, Yun-Zhang
2013
Probability modelled optimal frames for erasures. Zbl 1280.42027
Leng, Jinsong; Han, Deguang; Huang, Tingzhu
2013
Dilation of dual frame pairs in Hilbert $$C^*$$-modules. Zbl 1270.46050
Han, Deguang; Jing, Wu; Larson, David; Li, Pengtong; Mohapatra, Ram N.
2013
Centralizers and Jordan derivations for CSL subalgebras of von Neumann algebras. Zbl 1299.47070
Li, Pengtong; Han, Deguang; Tang, Wai-Shing
2013
Orthogonal projection decomposition of matrices and construction of fusion frames. Zbl 1263.42011
Leng, Jinsong; Han, Deguang
2013
Matrix Fourier multipliers for Parseval multi-wavelet frames. Zbl 1294.42005
Li, Zhongyan; Han, Deguang
2013
On common fundamental domains. Zbl 1279.22035
Dutkay, Dorin Ervin; Han, Deguang; Jorgensen, Palle E. T.; Picioroaga, Gabriel
2013
Derivations on the algebra of operators in Hilbert $$C^*$$-modules. Zbl 1263.47042
Li, Peng Tong; Han, De Guang; Tang, Wai Shing
2012
Higher derivations on Lie ideals of triangular algebras. Zbl 1261.16043
Han, D.
2012
On the Beurling dimension of exponential frames. Zbl 1209.28010
Dutkay, Dorin Ervin; Han, Deguang; Sun, Qiyu; Weber, Eric
2011
Optimal dual frames for erasures. II. Zbl 1235.42028
Leng, Jinsong; Han, Deguang
2011
Optimal dual frames for communication coding with probabilistic erasures. Zbl 1393.94747
Leng, Jinsong; Han, Deguang; Huang, Tingzhu
2011
Bessel sequences of exponentials on fractal measures. Zbl 1229.28011
Dutkay, Dorin Ervin; Han, Deguang; Weber, Eric
2011
Operator valued frames and structured quantum channels. Zbl 1245.42024
Han, DeGuang; Li, PengTong; Meng, Bin; Tang, WaiShing
2011
Unitary systems and Bessel generator multipliers. Zbl 1278.42043
Han, Deguang; Larson, David R.
2011
Topological and geometric properties of refinable functions and MRA affine frames. Zbl 1221.42053
Han, Deguang; Sun, Qiyu; Tang, Wai-Shing
2011
Wavelet frames for (not necessarily reducing) affine subspaces. II: The structure of affine subspaces. Zbl 1211.42032
Gu, Qing; Han, Deguang
2011
Optimal dual frames for erasures. Zbl 1181.42034
Lopez, Jerry; Han, Deguang
2010
Constructing super Gabor frames: the rational time-frequency lattice case. Zbl 1206.42036
Li, Zhongyan; Han, Deguang
2010
On the spectra of a Cantor measure. Zbl 1173.28003
Dutkay, Dorin Ervin; Han, Deguang; Sun, Qiyu
2009
Orthogonal exponentials, translations, and Bohr completions. Zbl 1180.42018
Dutkay, Dorin Ervin; Han, Deguang; Jorgensen, Palle E. T.
2009
Sampling expansions in reproducing kernel Hilbert and Banach spaces. Zbl 1183.42032
Han, Deguang; Nashed, M. Zuhair; Sun, Qiyu
2009
Perturbation of frames and Riesz bases in Hilbert $$C^*$$-modules. Zbl 1173.46039
Han, Deguang; Jing, Wu; Mohapatra, Ram N.
2009
The existence of tight Gabor duals for Gabor frames and subspace Gabor frames. Zbl 1170.42015
Han, Deguang
2009
Dilations and completions for Gabor systems. Zbl 1163.42012
Han, Deguang
2009
A duality principle for groups. Zbl 1169.42011
Dutkay, Dorin; Han, Deguang; Larson, David
2009
On the orthogonality of frames and the density and connectivity of wavelet frames. Zbl 1175.42013
Han, Deguang; Larson, David R.
2009
Parseval frames for ICC groups. Zbl 1176.46019
Dutkay, Dorin Ervin; Han, Deguang; Picioroaga, Gabriel
2009
Wavelet frames for (not necessarily reducing) affine subspaces. Zbl 1169.42017
Gu, Qing; Han, Deguang
2009
Frame representations and Parseval duals with applications to Gabor frames. Zbl 1213.42110
Han, Deguang
2008
Riesz bases and their dual modular frames in Hilbert $$C^*$$-modules. Zbl 1185.46040
Han, Deguang; Jing, Wu; Larson, David; Mohapatra, Ram N.
2008
Frame duality properties for projective unitary representations. Zbl 1200.42022
Han, Deguang; Larson, David
2008
When a characteristic function generates a Gabor frame. Zbl 1242.42023
Gu, Qing; Han, Deguang
2008
Orthonormal dilations of parseval wavelets. Zbl 1214.42069
Dutkay, Dorin Ervin; Han, Deguang; Picioroaga, Gabriel; Sun, Qiyu
2008
Frames for undergraduates. Zbl 1143.42001
Han, Deguang; Kornelson, Keri; Larson, David; Weber, Eric
2007
Classification of finite group-frames and super-frames. Zbl 1141.42317
Han, Deguang
2007
Inexact operator splitting methods with selfadaptive strategy for variational inequality problems. Zbl 1149.49010
Han, D.
2007
Structured Parseval frames in Hilbert $$C^*$$-modules. Zbl 1113.46055
Jing, Wu; Han, Deguang; Mohapatra, Ram N.
2006
A new class of projection and contraction methods for solving variational inequality problems. Zbl 1181.90258
Han, D.
2006
Super-wavelets and decomposable wavelet frames. Zbl 1099.42028
Gu, Qing; Han, Deguang
2005
Exponential stability of functional differential systems with impulsive effect on random moments. Zbl 1096.34060
Wu, S. J.; Han, D.
2005
Sampling expansions for functions having values in a Banach space. Zbl 1083.46009
Han, DeGuang; Zayed, Ahmed I.
2005
Frames, modular functions for shift-invariant subspaces and FMRA wavelet frames. Zbl 1060.42027
Gu, Qing; Han, Deguang
2005
Balian-Low phenomenon for subspace Gabor frames. Zbl 1071.42022
Gabardo, Jean-Pierre; Han, Deguang
2004
The uniqueness of the dual of Weyl–Heisenberg subspace frames. Zbl 1064.42021
Gabardo, Jean-Pierre; Han, Deguang
2004
The s-elementary frame wavelets are path connected. Zbl 1053.46054
Dai, X.; Diao, Y.; Gu, Q.; Han, D.
2004
Tight frame approximation for multi-frames and super-frames. Zbl 1048.42028
Han, Deguang
2004
The existence of Gabor bases and frames. Zbl 1058.42022
Han, Deguang; Wang, Yang
2004
Extensions of operators. Zbl 1072.47001
Han, D.; Larson, D.; Pan, Z.; Wogen, W.
2004
Frames associated with measurable spaces. Zbl 1033.42036
Gabardo, Jean-Pierre; Han, Deguang
2003
Frame representations for group-like unitary operator systems. Zbl 1027.46092
Gabardo, Jean Pierre; Han, Deguang
2003
Approximations for Gabor and wavelet frames. Zbl 1021.42021
Han, Deguang
2003
The existence of subspace wavelet sets. Zbl 1016.42020
Dai, X.; Diao, Y.; Gu, Q.; Han, D.
2003
Aspects of Gabor analysis and operator algebras. Zbl 1033.42035
Gabardo, Jean-Pierre; Han, Deguang
2003
Frame wavelet sets in $${\mathbb{R}}^{d}$$. Zbl 1021.42019
Dai, X.; Diao, Y.; Gu, Q.; Han, D.
2003
Wavelets with frame multiresolution analysis. Zbl 1030.42028
Dai, X.; Diao, Y.; Gu, Q.; Han, D.
2003
Functional Gabor frame multipliers. Zbl 1029.42032
Gu, Qing; Han, Deguang
2003
Interpolation operators associated with sub-frame sets. Zbl 1014.42025
Han, Deguang
2003
Frame wavelets in subspaces of $$L^2(\mathbb R^d)$$. Zbl 1004.42025
Dai, X.; Diao, Y.; Gu, Q.; Han, D.
2002
The Balian-Low theorem for symplectic lattices in higher dimensions. Zbl 1017.42027
Gröchenig, Karlheinz; Han, Deguang; Heil, Christopher; Kutyniok, Gitta
2002
A modified alternating direction method for variational inequality problems. Zbl 1098.90537
Han, D.
2002
Phases for dyadic orthonormal wavelets. Zbl 1059.42029
Gu, Qing; Han, Deguang
2002
Lattice tiling and the Weyl-Heisenberg frames. Zbl 0992.42021
Han, Deguang; Wang, Yang
2001
Subspace Weyl-Heisenberg frames. Zbl 0983.42022
Gabardo, Jean-Pierre; Han, Deguang
2001
Wandering vector multipliers for unitary groups. Zbl 0981.46049
Han, Deguang; Larson, D.
2001
Frames, bases and group representations. Zbl 0971.42023
Han, Deguang; Larson, David R.
2000
On multiresolution analysis (MRA) wavelets in $$\mathbb{R}^n$$. Zbl 0964.42021
Gu, Qing; Han, Deguang
2000
Frames for Banach spaces. Zbl 0947.46010
Casazza, Peter G.; Han, Deguang; Larson, David R.
1999
Multiresolution analyses of abstract Hilbert spaces and wandering subspaces. Zbl 0948.42023
Han, D.; Larson, D. R.; Papadakis, Manos; Stavropoulos, Th.
1999
A class of nonmonotone conjugate gradient methods for unconstrained optimization. Zbl 0956.90047
Liu, G. H.; Jing, L. L.; Han, L. X.; Han, D.
1999
Basic properties of wavelets. Zbl 0934.42024
Dai, Xingde; Gu, Qing; Han, Deguang; Larson, David; Liang, Rufeng; Lu, Shijin; Speegle, Darrin; Garrigós, Gustavo; Hernández, Eugenio; Paluszyński, Maciej; Papadakis, Manos; Šikić, Hrvoje; Weiland, David; Weiss, Guido
1998
Wandering vectors for irrational rotation unitary systems. Zbl 0888.46045
Han, Deguang
1998
Derivations and isomorphisms of certain reflexive operator algebras. Zbl 0914.47043
Hou, Chengjun; Han, Deguang
1998
Derivations and isomorphisms of some reflexive operator algebras. Zbl 1015.47050
Hou, Chengjun; Han, Deguang
1998
Continuity and linearity of additive derivations of nest algebras on Banach spaces. Zbl 0856.47028
Han, Deguang
1996
...and 13 more Documents
all top 5

#### Cited by 695 Authors

 69 Han, Deguang 36 Li, Yunzhang 32 Jørgensen, Palle E. T. 29 Dutkay, Dorin Ervin 20 Guo, Xunxiang 17 Gabardo, Jean-Pierre 16 Bownik, Marcin 16 Larson, David Royal 16 Weber, Eric S. 15 He, Xinggang 15 Lai, Chun-Kit 14 Casazza, Peter George 14 Leng, Jinsong 14 Li, Zhongyan 14 Sun, Qiyu 14 Sun, Wenchang 13 Dai, Xingde 13 Diao, Yuanan 13 Vashisht, Lalit Kumar 12 Li, Jianlin 11 Gu, Qing 11 Li, Pengtong 11 Liu, Rui 10 Christensen, Ole 10 Li, Dongwei 9 Aldroubi, Akram 9 Benedetto, John J. 9 Huang, Ting-Zhu 8 Massey, Pedro G. 8 Stoeva, Diana T. 8 Tian, Feng 7 An, Lixiang 7 Arefijamaal, Ali Akbar 7 Dai, Xinrong 7 Deepshikha 7 Dong, Xinhan 7 Stojanoff, Demetrio 7 Tang, Wai-Shing 6 Asgari, Mohammad Sadegh 6 Cabrelli, Carlos A. 6 Fu, Xiaoye 6 Fu, Yan-Song 6 García, Antonio G. 6 Heil, Christopher E. 6 Hou, Jinchuan 6 Jiang, Yingchun 6 Jing, Wu 6 Lian, Qiao-Fang 6 Molter, Ursula Maria 6 Pfander, Götz E. 6 Rahimi, Asghar 6 Ruiz, Mariano A. 6 Shukla, Niraj K. 6 Waldron, Shayne F. D. 5 Antezana, Jorge 5 Antoine, Jean-Pierre 5 Gröchenig, Karlheinz 5 Jia, HuiFang 5 Kim, Hong Oh 5 Kim, Rae Young 5 Kornelson, Keri A. 5 Lau, Kasing 5 Lemvig, Jakob 5 Lim, Jae Kun 5 Lu, Fangyan 5 Lv, Fusheng 5 Mirzaee Azandaryani, Morteza 5 Mohapatra, Ram Narayan 5 Powell, Alexander M. 5 Terekhin, Pavel Aleksandrovich 5 Wu, Zhi-Yi 5 Zhou, Fengying 4 Abreu, Luís Daniel 4 Balan, Radu V. 4 Balazs, Peter 4 Behera, Biswaranjan 4 Corach, Gustavo 4 Haussermann, John 4 Huang, Yongdong 4 Khosravi, Amir 4 Koo, Yooyoung 4 Kutyniok, Gitta 4 Li, Shidong 4 Liu, Bei 4 Luef, Franz 4 Mayeli, Azita 4 Merrill, Kathy D. 4 Nashed, M. Zuhair 4 Okoudjou, Kasso A. 4 Osgooei, Elnaz 4 Pedersen, Steen 4 Picioroaga, Gabriel 4 Poria, Anirudha 4 Qi, Xiaofei 4 Rashidi-Kouchi, Mehdi 4 Sadeghi, Ghadir 4 Shuman, Karen L. 4 Šikić, Hrvoje 4 Song, Myung-Sin 4 Tang, Min-wei ...and 595 more Authors
all top 5

#### Cited in 150 Serials

 53 Journal of Mathematical Analysis and Applications 52 Applied and Computational Harmonic Analysis 50 The Journal of Fourier Analysis and Applications 49 Journal of Functional Analysis 43 Linear Algebra and its Applications 30 Proceedings of the American Mathematical Society 26 International Journal of Wavelets, Multiresolution and Information Processing 23 Acta Applicandae Mathematicae 19 Transactions of the American Mathematical Society 18 Numerical Functional Analysis and Optimization 15 Results in Mathematics 15 Banach Journal of Mathematical Analysis 15 Science China. Mathematics 13 Advances in Computational Mathematics 13 Mediterranean Journal of Mathematics 12 Complex Analysis and Operator Theory 11 Acta Mathematica Sinica. English Series 10 Linear and Multilinear Algebra 10 Journal of Approximation Theory 9 Journal of Mathematical Physics 9 Advances in Mathematics 8 Journal of Function Spaces 8 Sahand Communications in Mathematical Analysis 7 Advances in Operator Theory 6 Rocky Mountain Journal of Mathematics 6 Mathematische Nachrichten 6 Monatshefte für Mathematik 6 The Journal of Geometric Analysis 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Chaos, Solitons and Fractals 5 Abstract and Applied Analysis 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Journal of Pseudo-Differential Operators and Applications 4 Applicable Analysis 4 Integral Equations and Operator Theory 4 Journal of Computational and Applied Mathematics 4 Mathematische Annalen 4 Memoirs of the American Mathematical Society 4 Annals of Functional Analysis 4 Axioms 3 Bulletin of the Australian Mathematical Society 3 Indian Journal of Pure & Applied Mathematics 3 Journal of Geometry and Physics 3 Fractals 3 Opuscula Mathematica 3 Journal of Inequalities and Applications 3 Advances in Pure and Applied Mathematics 3 Journal of Mathematics 3 Wavelets and Linear Algebra 2 Israel Journal of Mathematics 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Canadian Mathematical Bulletin 2 Illinois Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematica Hungarica 2 Bulletin of the Iranian Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 Constructive Approximation 2 Facta Universitatis. Series Mathematics and Informatics 2 Applied Mathematics Letters 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Applied Mathematics. Series B (English Edition) 2 Bulletin des Sciences Mathématiques 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Analysis and Applications (Singapore) 2 Journal of Function Spaces and Applications 2 Journal of Mathematical Inequalities 2 Asian-European Journal of Mathematics 2 Kyoto Journal of Mathematics 2 Analysis and Mathematical Physics 2 Afrika Matematika 2 Journal of Classical Analysis 2 Journal of Linear and Topological Algebra 1 Acta Mechanica 1 Houston Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Moscow University Mathematics Bulletin 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Acta Mathematica Vietnamica 1 Canadian Journal of Mathematics 1 Collectanea Mathematica 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Fundamenta Mathematicae 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Journal of Number Theory 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Real Analysis Exchange 1 Revista de la Unión Matemática Argentina 1 Ergodic Theory and Dynamical Systems ...and 50 more Serials
all top 5

#### Cited in 50 Fields

 621 Harmonic analysis on Euclidean spaces (42-XX) 275 Functional analysis (46-XX) 164 Operator theory (47-XX) 86 Measure and integration (28-XX) 81 Information and communication theory, circuits (94-XX) 43 Approximations and expansions (41-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 32 Abstract harmonic analysis (43-XX) 29 Numerical analysis (65-XX) 16 Probability theory and stochastic processes (60-XX) 16 Quantum theory (81-XX) 15 Functions of a complex variable (30-XX) 13 Associative rings and algebras (16-XX) 13 Topological groups, Lie groups (22-XX) 13 Computer science (68-XX) 12 Combinatorics (05-XX) 12 Number theory (11-XX) 11 Partial differential equations (35-XX) 9 Convex and discrete geometry (52-XX) 7 Group theory and generalizations (20-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Nonassociative rings and algebras (17-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Special functions (33-XX) 4 Real functions (26-XX) 3 Potential theory (31-XX) 3 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 Systems theory; control (93-XX) 1 $$K$$-theory (19-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX)