Edit Profile (opens in new tab) He, Xinggang Co-Author Distance Author ID: he.xinggang Published as: He, Xing-Gang; He, Xinggang; He, XingGang more...less Documents Indexed: 46 Publications since 1992, including 3 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 21 Co-Authors with 35 Joint Publications 293 Co-Co-Authors all top 5 Co-Authors 8 single-authored 11 Lau, Kasing 8 An, Lixiang 4 Lai, Chun-Kit 4 Li, Haixiong 3 Dai, Xinrong 3 Deng, Guotai 2 Cao, Li 2 He, Liu 2 Liu, Chuntai 2 Rao, Hui 2 Tang, Min-wei 2 Wu, Zhiyi 1 Deng, Qirong 1 Dong, Xinhan 1 Fu, Xiaoye 1 Fu, Yan-Song 1 Kang, Qing-can 1 Kirat, Ibrahim 1 Wen, Zhi-Xiong 1 Wen, Zhi-Ying 1 Wen, Zhiying all top 5 Serials 7 Journal of Functional Analysis 4 Journal of Mathematical Analysis and Applications 3 Advances in Mathematics 3 Journal of Central China Normal University. Natural Sciences 2 Archiv der Mathematik 2 Czechoslovak Mathematical Journal 2 Constructive Approximation 2 Applied and Computational Harmonic Analysis 1 Nonlinearity 1 Physics Letters. B 1 Studia Mathematica 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Southeast Asian Bulletin of Mathematics 1 Chinese Annals of Mathematics. Series A 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 The Journal of Fourier Analysis and Applications 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 The European Physical Journal C. Particles and Fields 1 Science China. Mathematics all top 5 Fields 29 Measure and integration (28-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 4 Convex and discrete geometry (52-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 25 Fields 204 Measure and integration (28-XX) 146 Harmonic analysis on Euclidean spaces (42-XX) 44 Functional analysis (46-XX) 18 Convex and discrete geometry (52-XX) 16 Number theory (11-XX) 15 Dynamical systems and ergodic theory (37-XX) 10 Combinatorics (05-XX) 7 Probability theory and stochastic processes (60-XX) 6 Abstract harmonic analysis (43-XX) 4 Real functions (26-XX) 4 Geometry (51-XX) 3 Functions of a complex variable (30-XX) 3 Numerical analysis (65-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) Citations by Year