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Author ID: he.xinggang Recent zbMATH articles by "He, Xinggang"
Published as: He, Xing-Gang; He, Xinggang; He, XingGang

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 779 times in 236 Documents Cited by Year
On spectral \({N}\)-Bernoulli measures. Zbl 1303.28011
Dai, Xin-Rong; He, Xing-Gang; Lau, Ka-Sing
120
2014
Spectral property of Cantor measures with consecutive digits. Zbl 1277.28009
Dai, Xin-Rong; He, Xing-Gang; Lai, Chun-Kit
104
2013
A class of spectral Moran measures. Zbl 1303.28009
An, Li-Xiang; He, Xing-Gang
84
2014
Spectrality of a class of infinite convolutions. Zbl 1323.28007
An, Li-Xiang; He, Xing-Gang; Lau, Ka-Sing
67
2015
Exponential spectra in \(L^2(\mu)\). Zbl 1264.42010
He, Xing-Gang; Lai, Chun-Kit; Lau, Ka-Sing
62
2013
Spectra of Bernoulli convolutions and random convolutions. Zbl 1400.42005
Fu, Yan-Song; He, Xing-Gang; Wen, Zhi-Xiong
41
2018
On the Fourier orthonormal bases of Cantor-Moran measures. Zbl 1357.28010
He, Liu; He, Xing-Gang
40
2017
Spectrality of infinite Bernoulli convolutions. Zbl 1320.28011
An, Li-Xiang; He, Xing-Gang; Li, Hai-Xiong
37
2015
Spectrality of self-similar tiles. Zbl 1329.42032
Fu, Xiaoye; He, Xinggang; Lau, Ka-Sing
31
2015
Self-affine sets and graph-directed systems. Zbl 1027.37012
He, Xing-Gang; Lau, Ka-Sing; Rao, Hui
30
2003
Spectrality and non-spectrality of the Riesz product measures with three elements in digit sets. Zbl 1414.28013
An, Li-Xiang; He, Liu; He, Xing-Gang
24
2019
Spectrality of the planar Sierpinski family. Zbl 1364.42030
An, Li-Xiang; He, Xing-Gang; Tao, Li
23
2015
Spectral structure and spectral eigenvalue problems of a class of self-similar spectral measures. Zbl 1440.42027
He, Xing-Gang; Tang, Min-wei; Wu, Zhi-Yi
20
2019
On a generalized dimension of self-affine fractals. Zbl 1153.28005
He, Xing-Gang; Lau, Ka-Sing
17
2008
Height reducing property of polynomials and self-affine tiles. Zbl 1228.11161
He, Xing-Gang; Kirat, Ibrahim; Lau, Ka-Sing
13
2011
Beurling dimension and self-similar measures. Zbl 1384.28015
He, Xing-Gang; Kang, Qing-can; Tang, Min-wei; Wu, Zhi-Yi
9
2018
Characterization of tile digit sets with prime determinants. Zbl 1065.52014
He, Xing-Gang; Lau, Ka-Sing
9
2004
Self-similar structure on intersections of triadic Cantor sets. Zbl 1151.28009
Deng, Guo-Tai; He, Xing-Gang; Wen, Zhi-Xiong
8
2008
Self-affine measures and vector-valued representations. Zbl 1176.28013
Deng, Qi-Rong; He, Xing-Gang; Lau, Ka-Sing
7
2008
On spectra and spectral eigenmatrix problems of the planar Sierpinski measures. Zbl 1487.42060
An, Li-Xiang; Dong, Xin-Han; He, Xing-Gang
7
2022
Lipschitz equivalence of fractal sets in \(\mathbb R\). Zbl 1257.28003
Deng, GuoTai; He, XingGang
6
2012
On the Weyl-Heisenberg frames generated by simple functions. Zbl 1230.42039
He, Xing-Gang; Lau, Ka-Sing
5
2011
Strong and electroweak interactions and their unification with non-commutative space-time. Zbl 1030.81528
He, X. G.
4
2003
Integral self-affine sets with positive Lebesgue measures. Zbl 1145.28003
Deng, Guo-Tai; He, Xing-Gang
2
2008
On the boundaries of self-similar tiles in \(\mathbb{R}^1\). Zbl 1112.28007
He, Xing-Gang
2
2006
A short proof of a generalization on Opial’s inequality. Zbl 0798.26014
He, Xinggang
2
1994
Law of pure types and some exotic spectra of fractal spectral measures. Zbl 1318.28019
Dai, Xin-Rong; He, Xing-Gang; Lai, Chun-Kit
2
2014
Dimensional results for Cartesian products of homogeneous Moran sets. Zbl 1254.28005
Cao, Li; He, Xing-Gang
2
2012
Uniform domain and quasiconformal mappings. Zbl 0768.30013
He, Xinggang
1
1992
On the range of \(\sum\nolimits_{n=1}^{\infty} \pm c_{n}\). Zbl 1332.28009
He, Xing-Gang; Liu, Chun-Tai
1
2015
On the \(abc\)-problem in Weyl-Heisenberg frames. Zbl 1340.42073
He, Xinggang; Li, Haixiong
1
2014
On the self-affine sets and the scaling functions. Zbl 1027.42022
He, Xing-Gang; Lau, Ka-Sing; Rao, Hui
1
2002
Quasisymmetrically thick generalized-Cantor sets in \(\mathbb R\). Zbl 1290.28009
An, Li-Xiang; He, Xing-Gang; Li, Hai-Xiong
1
2013
On spectra and spectral eigenmatrix problems of the planar Sierpinski measures. Zbl 1487.42060
An, Li-Xiang; Dong, Xin-Han; He, Xing-Gang
7
2022
Spectrality and non-spectrality of the Riesz product measures with three elements in digit sets. Zbl 1414.28013
An, Li-Xiang; He, Liu; He, Xing-Gang
24
2019
Spectral structure and spectral eigenvalue problems of a class of self-similar spectral measures. Zbl 1440.42027
He, Xing-Gang; Tang, Min-wei; Wu, Zhi-Yi
20
2019
Spectra of Bernoulli convolutions and random convolutions. Zbl 1400.42005
Fu, Yan-Song; He, Xing-Gang; Wen, Zhi-Xiong
41
2018
Beurling dimension and self-similar measures. Zbl 1384.28015
He, Xing-Gang; Kang, Qing-can; Tang, Min-wei; Wu, Zhi-Yi
9
2018
On the Fourier orthonormal bases of Cantor-Moran measures. Zbl 1357.28010
He, Liu; He, Xing-Gang
40
2017
Spectrality of a class of infinite convolutions. Zbl 1323.28007
An, Li-Xiang; He, Xing-Gang; Lau, Ka-Sing
67
2015
Spectrality of infinite Bernoulli convolutions. Zbl 1320.28011
An, Li-Xiang; He, Xing-Gang; Li, Hai-Xiong
37
2015
Spectrality of self-similar tiles. Zbl 1329.42032
Fu, Xiaoye; He, Xinggang; Lau, Ka-Sing
31
2015
Spectrality of the planar Sierpinski family. Zbl 1364.42030
An, Li-Xiang; He, Xing-Gang; Tao, Li
23
2015
On the range of \(\sum\nolimits_{n=1}^{\infty} \pm c_{n}\). Zbl 1332.28009
He, Xing-Gang; Liu, Chun-Tai
1
2015
On spectral \({N}\)-Bernoulli measures. Zbl 1303.28011
Dai, Xin-Rong; He, Xing-Gang; Lau, Ka-Sing
120
2014
A class of spectral Moran measures. Zbl 1303.28009
An, Li-Xiang; He, Xing-Gang
84
2014
Law of pure types and some exotic spectra of fractal spectral measures. Zbl 1318.28019
Dai, Xin-Rong; He, Xing-Gang; Lai, Chun-Kit
2
2014
On the \(abc\)-problem in Weyl-Heisenberg frames. Zbl 1340.42073
He, Xinggang; Li, Haixiong
1
2014
Spectral property of Cantor measures with consecutive digits. Zbl 1277.28009
Dai, Xin-Rong; He, Xing-Gang; Lai, Chun-Kit
104
2013
Exponential spectra in \(L^2(\mu)\). Zbl 1264.42010
He, Xing-Gang; Lai, Chun-Kit; Lau, Ka-Sing
62
2013
Quasisymmetrically thick generalized-Cantor sets in \(\mathbb R\). Zbl 1290.28009
An, Li-Xiang; He, Xing-Gang; Li, Hai-Xiong
1
2013
Lipschitz equivalence of fractal sets in \(\mathbb R\). Zbl 1257.28003
Deng, GuoTai; He, XingGang
6
2012
Dimensional results for Cartesian products of homogeneous Moran sets. Zbl 1254.28005
Cao, Li; He, Xing-Gang
2
2012
Height reducing property of polynomials and self-affine tiles. Zbl 1228.11161
He, Xing-Gang; Kirat, Ibrahim; Lau, Ka-Sing
13
2011
On the Weyl-Heisenberg frames generated by simple functions. Zbl 1230.42039
He, Xing-Gang; Lau, Ka-Sing
5
2011
On a generalized dimension of self-affine fractals. Zbl 1153.28005
He, Xing-Gang; Lau, Ka-Sing
17
2008
Self-similar structure on intersections of triadic Cantor sets. Zbl 1151.28009
Deng, Guo-Tai; He, Xing-Gang; Wen, Zhi-Xiong
8
2008
Self-affine measures and vector-valued representations. Zbl 1176.28013
Deng, Qi-Rong; He, Xing-Gang; Lau, Ka-Sing
7
2008
Integral self-affine sets with positive Lebesgue measures. Zbl 1145.28003
Deng, Guo-Tai; He, Xing-Gang
2
2008
On the boundaries of self-similar tiles in \(\mathbb{R}^1\). Zbl 1112.28007
He, Xing-Gang
2
2006
Characterization of tile digit sets with prime determinants. Zbl 1065.52014
He, Xing-Gang; Lau, Ka-Sing
9
2004
Self-affine sets and graph-directed systems. Zbl 1027.37012
He, Xing-Gang; Lau, Ka-Sing; Rao, Hui
30
2003
Strong and electroweak interactions and their unification with non-commutative space-time. Zbl 1030.81528
He, X. G.
4
2003
On the self-affine sets and the scaling functions. Zbl 1027.42022
He, Xing-Gang; Lau, Ka-Sing; Rao, Hui
1
2002
A short proof of a generalization on Opial’s inequality. Zbl 0798.26014
He, Xinggang
2
1994
Uniform domain and quasiconformal mappings. Zbl 0768.30013
He, Xinggang
1
1992
all top 5

Cited by 161 Authors

26 Liu, Jingcheng
20 Dong, Xinhan
19 He, Xinggang
16 Chen, Ming-Liang
16 Lai, Chun-Kit
16 Lau, Kasing
14 Deng, Qirong
12 Wu, Zhiyi
10 An, Lixiang
10 Dutkay, Dorin Ervin
10 Tang, Min-wei
9 Fu, Yan-Song
8 Luo, Jun Jason
8 Ngai, Sze-Man
7 Dai, Xinrong
7 Fu, Xiaoye
7 Li, Qian
7 Su, Juan
6 Ai, Wenhui
6 Li, Haixiong
6 Li, Wenxia
6 Lu, Zhengyi
6 Yan, Zhi-Hui
5 Deng, Guotai
5 Gabardo, Jean-Pierre
5 Jørgensen, Palle E. T.
5 Liu, Chuntai
5 Liu, Zongsheng
5 Rao, Hui
5 Wang, Cong
5 Wang, Zhimin
5 Zhang, Minmin
5 Zhang, Pengfei
5 Zhu, Meng
4 Leung, King-Shun
4 Li, Jinjun
4 Li, Mingtian
4 Wang, Qi
4 Wang, Xiangyang
4 Wu, Sha
4 Yao, Yuanyuan
4 Yin, Fengli
4 Zheng, Jia
3 Akiyama, Shigeki
3 Chen, Si
3 He, Liu
3 Li, Jianlin
3 Liu, Yao
3 Shi, Ruxi
3 Wang, Ye
3 Wen, Zhi-Xiong
3 Wu, Haihua
2 Bondarenko, Ievgen V.
2 Chen, Jia-Long
2 Ding, Daoxin
2 Haussermann, John
2 Kirat, Ibrahim
2 Kravchenko, Rostyslav V.
2 Loridant, Benoit
2 Miao, Junjie
2 Picioroaga, Gabriel
2 Sun, Qiyu
2 Wang, Yang
2 Wang, Zhiqiang
2 Wei, Saidi
2 Wen, Zhi-Ying
2 Yang, Yamin
2 Yao, Yonghua
2 Zeng, Sai-Nan
2 Zhang, Yuan
2 Zhou, Ting
2 Zou, Yuru
1 Ai, Dan
1 Antezana, Jorge
1 Aouidi, Jamil
1 Asgari, Mohammad Sadegh
1 Bandt, Christoph
1 Belov, Yurii S.
1 Ben Mabrouk, Anouar
1 Blondel, Vincent D.
1 Bohner, Martin J.
1 Brudnyi, Yuri A.
1 Cao, Jian
1 Chang, Huan
1 Chen, Jianbao
1 Chi, Zi-Chao
1 Chu, Yuming
1 Curry, Eva
1 Duman, Oktay
1 Emami, Shahram
1 Fan, Ai Hua
1 Feichtinger, Hans Georg
1 Feng, De-Jun
1 Fu, Xiu-Qun
1 García, María Guadalupe
1 Gröchenig, Karlheinz
1 Gui, Yongxin
1 Han, Deguang
1 Helmberg, Gilbert
1 Hu, Jiaxin
...and 61 more Authors
all top 5

Cited in 64 Serials

31 Journal of Mathematical Analysis and Applications
25 Journal of Functional Analysis
19 Fractals
14 Advances in Mathematics
13 Forum Mathematicum
9 The Journal of Fourier Analysis and Applications
7 Nonlinearity
6 Analysis Mathematica
6 Applied and Computational Harmonic Analysis
6 Complex Analysis and Operator Theory
5 Canadian Mathematical Bulletin
5 Mathematische Nachrichten
5 Transactions of the American Mathematical Society
4 Monatshefte für Mathematik
4 Proceedings of the American Mathematical Society
4 International Journal of Mathematics
3 Ergodic Theory and Dynamical Systems
3 Constructive Approximation
3 Discrete & Computational Geometry
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Annals of Functional Analysis
2 Chaos, Solitons and Fractals
2 Journal of the London Mathematical Society. Second Series
2 Results in Mathematics
2 Acta Mathematica Hungarica
2 Acta Applicandae Mathematicae
2 Abstract and Applied Analysis
2 Dynamical Systems
2 Science China. Mathematics
1 Bulletin of the Australian Mathematical Society
1 Journal d’Analyse Mathématique
1 Mathematics of Computation
1 The Mathematical Intelligencer
1 Archiv der Mathematik
1 Fundamenta Mathematicae
1 Geometriae Dedicata
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Journal of Approximation Theory
1 Journal of the Mathematical Society of Japan
1 Journal of Number Theory
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Topology and its Applications
1 The Journal of Geometric Analysis
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Experimental Mathematics
1 St. Petersburg Mathematical Journal
1 Opuscula Mathematica
1 Differential Equations and Dynamical Systems
1 Journal of Mathematical Study
1 Acta Mathematica Sinica. English Series
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 International Journal of Wavelets, Multiresolution and Information Processing
1 Acta Mathematica Sinica. Chinese Series
1 Journal of Mathematical Inequalities
1 Journal of Fractal Geometry
1 Annales Fennici Mathematici

Citations by Year