Edit Profile (opens in new tab) Sun, Qiyu Co-Author Distance Author ID: sun.qiyu Published as: Sun, Qiyu; Sun, Qi Yu; Sun, Q. more...less Homepage: https://sciences.ucf.edu/math/person/qiyu-sun/ External Links: MGP · Google Scholar · ResearchGate Documents Indexed: 138 Publications since 1991, including 1 Book and 7 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 50 Reviews Co-Authors: 81 Co-Authors with 108 Joint Publications 2,990 Co-Co-Authors all top 5 Co-Authors 31 single-authored 11 Cheng, Cheng 8 Aldroubi, Akram 8 Huang, Daren 8 Tang, Wai-Shing 7 Dai, Xinrong 7 Han, Deguang 7 Shin, Chang Eon 6 Nashed, M. Zuhair 5 Chen, Yang 5 Dutkay, Dorin Ervin 5 Hu, Guoen 5 Lee, Seng Luan 5 Motee, Nader 5 Shi, Xianliang 4 Bi, Ning 4 Chui, Charles Kam-tai 4 Gao, Xiaojie 4 Zhang, Zeyin 3 Emirov, Nazar 3 Fang, Qiquan 3 Jiang, Junzheng 3 Unser, Michael A. 3 Xian, Jun 2 Amini, Arash Ali 2 Chen, Wengu 2 Jiang, Yingchun 2 Li, Peng 2 Ma, Bolin 2 Micchelli, Charles A. 2 Tafti, Pouya Dehghani 2 Wang, Haichao 2 Weber, Eric S. 1 Abbas, Syed Alam 1 Atallah, Elie 1 Bodmann, Bernhard G. 1 Casazza, Peter George 1 Chen, Liyuan 1 Chen, Quande 1 Cohen, Albert 1 Debnath, Lokenath 1 Fan, Ai Hua 1 Foroosh, Hassan 1 Gao, Bing 1 Goodman, Timothy N. T. 1 Hardin, Douglas P. 1 He, Wenjie 1 Hogan, Thomas A. 1 Hu, Wei 1 Jørgensen, Palle E. T. 1 Kornelson, Keri A. 1 Kutyniok, Gitta 1 Larson, David Royal 1 Lau, Kasing 1 Leonetti, Casey 1 Li, Yaxu 1 Li, Yunzhang 1 Liu, Youming 1 Massopust, Peter R. 1 Mousavi, Hossein K. 1 Nashed, Zuhair 1 Ólafsson, Gestur 1 Packer, Judith A. 1 Papadakis, Manos 1 Pesenson, Isaac Zalmanovich 1 Picioroaga, Gabriel 1 Rahnavard, Nazanin 1 Rim, Kyung Soo 1 Shen, Lixin 1 Silvestrov, Sergei D. 1 Somarakis, Christoforos 1 Song, Guohui 1 Steinerberger, Stefan 1 Stöckler, Joachim 1 Wang, Wei 1 Wang, Xin 1 Wang, Yanfei 1 Wang, Yang 1 Wen, Zaiwen 1 Xu, Zhiqiang 1 Zheng, Cong 1 Zheng, Yanzhang all top 5 Serials 14 Applied and Computational Harmonic Analysis 9 Proceedings of the American Mathematical Society 9 The Journal of Fourier Analysis and Applications 6 Advances in Computational Mathematics 5 Journal of Functional Analysis 5 IEEE Transactions on Signal Processing 4 Numerical Functional Analysis and Optimization 4 Advances in Mathematics (Beijing) 4 Approximation Theory and its Applications 4 Applied Mathematics. Series B (English Edition) 3 Archiv der Mathematik 3 Journal of Hangzhou University. Natural Science Edition 3 Constructive Approximation 2 Journal of Mathematical Analysis and Applications 2 Advances in Mathematics 2 Colloquium Mathematicum 2 Journal of Approximation Theory 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 Zeitschrift für Analysis und ihre Anwendungen 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 SIAM Journal on Mathematical Analysis 2 Acta Mathematica Sinica. English Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Sampling Theory, Signal Processing, and Data Analysis 1 IEEE Transactions on Information Theory 1 Studia Mathematica 1 Hokkaido Mathematical Journal 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Advances in Applied Mathematics 1 Journal of Mathematical Research & Exposition 1 Chinese Annals of Mathematics. Series A 1 Acta Mathematica Hungarica 1 Acta Mathematicae Applicatae Sinica. English Series 1 Publicacions Matemàtiques 1 Acta Mathematica Sinica. New Series 1 Chinese Science Bulletin 1 East Journal on Approximations 1 Vietnam Journal of Mathematics 1 The Asian Journal of Mathematics 1 Communications on Pure and Applied Analysis 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Scientia Sinica. Mathematica all top 5 Fields 104 Harmonic analysis on Euclidean spaces (42-XX) 35 Information and communication theory, circuits (94-XX) 34 Functional analysis (46-XX) 22 Approximations and expansions (41-XX) 21 Operator theory (47-XX) 17 Numerical analysis (65-XX) 7 Measure and integration (28-XX) 5 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Probability theory and stochastic processes (60-XX) 3 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Operations research, mathematical programming (90-XX) 2 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 102 Publications have been cited 1,515 times in 763 Documents Cited by ▼ Year ▼ On the spectra of a Cantor measure. Zbl 1173.28003 Dutkay, Dorin Ervin; Han, Deguang; Sun, Qiyu 102 2009 \(p\)-frames and shift invariant subspaces of \(L^p\). Zbl 0983.46027 Aldroubi, Akram; Sun, Qiyu; Tang, Wai-Shing 78 2001 Nonuniform average sampling and reconstruction of signals with finite rate of innovation. Zbl 1130.94009 Sun, Qiyu 70 2006 Convolution, average sampling, and a Calderon resolution of the identity for shift-invariant spaces. Zbl 1095.42022 Aldroubi, Akram; Sun, Qiyu; Tang, Wai-Shing 69 2005 Sampling and reconstruction of signals in a reproducing kernel subspace of \(L^p(\mathbb R^d)\). Zbl 1201.42022 Nashed, M. Zuhair; Sun, Qiyu 65 2010 Wiener’s Lemma for infinite matrices. Zbl 1131.47013 Sun, Qiyu 62 2007 On the Beurling dimension of exponential frames. Zbl 1209.28010 Dutkay, Dorin Ervin; Han, Deguang; Sun, Qiyu; Weber, Eric 53 2011 Nonuniform average sampling and reconstruction in multiply generated shift-invariant spaces. Zbl 1049.42017 Aldroubi, Akram; Sun, Qiyu; Tang, Wai-Shing 49 2004 Divergence of the mock and scrambled Fourier series on fractal measures. Zbl 1406.42008 Dutkay, Dorin Ervin; Han, Deguang; Sun, Qiyu 48 2014 Local reconstruction for sampling in shift-invariant spaces. Zbl 1192.94079 Sun, Qiyu 44 2010 Stability of localized operators. Zbl 1169.47013 Shin, Chang Eon; Sun, Qiyu 40 2009 Recovery of sparsest signals via \(\ell^q \)-minimization. Zbl 1266.94017 Sun, Qiyu 37 2012 Wiener’s lemma for infinite matrices with polynomial off-diagonal decay. Zbl 1069.42018 Sun, Qiyu 35 2005 Wiener’s lemma for infinite matrices. II. Zbl 1253.46057 Sun, Qiyu 32 2011 Weighted norm inequalities for Bochner-Riesz operators and singular integral operators. Zbl 0786.42006 Shi, Xianliang; Sun, Qiyu 32 1992 Frames in spaces with finite rate of innovation. Zbl 1218.42015 Sun, Qiyu 30 2008 Sampling expansions in reproducing kernel Hilbert and Banach spaces. Zbl 1183.42032 Han, Deguang; Nashed, M. Zuhair; Sun, Qiyu 30 2009 Compactly supported tight affine frames with integer dilations and maximum vanishing moments. Zbl 1059.42022 Chui, Charles K.; He, Wenjie; Stöckler, Joachim; Sun, Qiyu 29 2003 Spectral measures with arbitrary Hausdorff dimensions. Zbl 1323.28010 Dai, Xin-Rong; Sun, Qiyu 27 2015 Convolution sampling and reconstruction of signals in a reproducing kernel subspace. Zbl 1275.42050 Nashed, M. Zuhair; Sun, Qiyu; Xian, Jun 22 2013 Construction of compactly supported \(M\)-band wavelets. Zbl 0926.42021 Bi, Ning; Dai, Xinrong; Sun, Qiyu 20 1999 Wiener’s lemma for localized integral operators. Zbl 1257.42017 Sun, Qiyu 20 2008 Phase retrieval of real-valued signals in a shift-invariant space. Zbl 1436.94017 Chen, Yang; Cheng, Cheng; Sun, Qiyu; Wang, Haichao 20 2020 Spatially distributed sampling and reconstruction. Zbl 1435.94164 Cheng, Cheng; Jiang, Yingchun; Sun, Qiyu 20 2019 Affine frame decompositions and shift-invariant spaces. Zbl 1091.42021 Chui, Charles K.; Sun, Qiyu 18 2006 Localized nonlinear functional equations and two sampling problems in signal processing. Zbl 1476.94018 Sun, Qiyu 16 2014 Phase retrieval from the magnitudes of affine linear measurements. Zbl 1375.42050 Gao, Bing; Sun, Qiyu; Wang, Yang; Xu, Zhiqiang 16 2018 Rate of innovation for (non-)periodic signals and optimal lower stability bound for filtering. Zbl 1320.94026 Sun, Qiyu; Xian, Jun 16 2014 A unified formulation of Gaussian versus sparse stochastic processes. I: Continuous-domain theory. Zbl 1360.60079 Unser, Michael; Tafti, Pouya D.; Sun, Qiyu 15 2014 The matrix-valued Riesz lemma and local orthonormal bases in shift-invariant spaces. Zbl 1036.42035 Hardin, Douglas P.; Hogan, Thomas A.; Sun, Qiyu 14 2004 Wiener’s lemma: localization and various approaches. Zbl 1299.46045 Shin, Chang Eon; Sun, Qiyu 14 2013 Polynomial control on stability, inversion and powers of matrices on simple graphs. Zbl 1416.46051 Shin, Chang Eon; Sun, Qiyu 13 2019 Phaseless sampling and reconstruction of real-valued signals in shift-invariant spaces. Zbl 1417.94014 Cheng, Cheng; Jiang, Junzheng; Sun, Qiyu 13 2019 Orthonormal dilations of parseval wavelets. Zbl 1214.42069 Dutkay, Dorin Ervin; Han, Deguang; Picioroaga, Gabriel; Sun, Qiyu 12 2008 Uncertainty principles and Balian-Low type theorems in principal shift-invariant spaces. Zbl 1215.42041 Aldroubi, Akram; Sun, Qiyu; Wang, Haichao 12 2011 An arithmetic characterization of the conjugate quadrature filters associated to orthonormal wavelet bases. Zbl 0792.42022 Cohen, Albert; Sun, Qiyu 12 1993 The \(abc\)-problem for Gabor systems. Zbl 1370.42024 Dai, Xin-Rong; Sun, Qiyu 12 2016 Sparse approximation property and stable recovery of sparse signals from noisy measurements. Zbl 1393.94449 Sun, Qiyu 12 2011 Stability of localized integral operators on weighted \(L^p\) spaces. Zbl 1258.47063 Rim, Kyung Soo; Shin, Chang Eon; Sun, Qiyu 11 2012 Error analysis of frame reconstruction from noisy samples. Zbl 1390.94055 Aldroubi, Akram; Leonetti, Casey; Sun, Qiyu 11 2008 Reconstructing signals with finite rate of innovation from noisy samples. Zbl 1175.94043 Bi, Ning; Nashed, M. Zuhair; Sun, Qiyu 10 2009 Refinable functions with compact support. Zbl 0870.42008 Sun, Qiyu 10 1996 Asymptotic behavior of \(M\)-band scaling functions of Daubechies type. Zbl 1055.42505 Bi, N.; Debnath, L.; Sun, Qiyu 9 1998 Total positivity and refinable functions with general dilation. Zbl 1042.42031 Goodman, T. N. T.; Sun, Qiyu 9 2004 Sampling and Galerkin reconstruction in reproducing kernel spaces. Zbl 1360.94182 Cheng, Cheng; Jiang, Yingchun; Sun, Qiyu 9 2016 Function spaces for sampling expansions. Zbl 1345.46017 Nashed, M. Zuhair; Sun, Qiyu 9 2013 Random sampling and reconstruction of concentrated signals in a reproducing kernel space. Zbl 1467.94013 Li, Yaxu; Sun, Qiyu; Xian, Jun 9 2021 Nonlinear frames and sparse reconstructions in Banach spaces. Zbl 1417.42044 Sun, Qiyu; Tang, Wai-Shing 8 2017 Compactly supported distributional solutions of nonstationary nonhomogeneous refinement equations. Zbl 0980.42036 Sun, Qi Yu 8 2001 Average sampling in \(L^2\). Zbl 1170.94319 Nashed, M. Zuhair; Sun, Qiyu; Tang, Wai-Shing 8 2009 Sparsity and spatial localization measures for spatially distributed systems. Zbl 1354.93013 Motee, Nader; Sun, Qiyu 8 2017 Wiener’s lemma for singular integral operators of Bessel potential type. Zbl 1285.47087 Fang, Qiquan; Shin, Chang Eon; Sun, Qiyu 8 2014 Left-inverses of fractional Laplacian and sparse stochastic processes. Zbl 1251.26006 Sun, Qiyu; Unser, Michael 7 2012 A class of \(M\)-dilation scaling functions with regularity growing proportionally to filter support width. Zbl 0943.42019 Shi, Xianliang; Sun, Qiyu 7 1998 Compactly supported refinable distributions in Triebel-Lizorkin spaces and Besov spaces. Zbl 0928.42027 Ma, Bolin; Sun, Qiyu 6 1999 Sobolev exponent estimate and asymptotic regularity of the \(M\)-band Daubechies’ scaling functions. Zbl 0962.42029 Sun, Qiyu 6 1999 A characterization of compactly supported both \(m\) and \(n\) refinable distributions. Zbl 0942.42023 Sun, Qiyu; Zhang, Zeyin 6 1999 Regularity of Butterworth refinable functions. Zbl 1009.42021 Fan, Aihua; Sun, Qiyu 6 2001 Stability criterion for convolution-dominated infinite matrices. Zbl 1230.47056 Sun, Qiyu 6 2010 \(M\)-band scaling function with filter having vanishing moments two and minimal length. Zbl 0938.42022 Sun, Qiyu; Zhang, Zeyin 5 1998 Stability of the shifts of global supported distributions. Zbl 0993.46019 Sun, Qiyu 5 2001 Tight frame oversampling and its equivalence to shift-invariance of affine frame operators. Zbl 1013.42024 Chui, Charles K.; Sun, Qiyu 5 2003 A note on the integer translates of a compactly supported distribution on \(\mathbb{R}\). Zbl 0785.41006 Sun, Qiyu 5 1993 Non-uniform sampling in multiply generated shift-invariant subspaces of \(L^p(\mathbb{R}^d)\). Zbl 1025.42025 Aldroubi, Akram; Sun, Qiyu; Tang, Wai-Shing 5 2002 Polynomial control on weighted stability bounds and inversion norms of localized matrices on simple graphs. Zbl 1492.05087 Fang, Qiquan; Shin, Chang Eon; Sun, Qiyu 5 2021 Nonsubsampled graph filter banks: theory and distributed algorithms. Zbl 07123336 Jiang, Junzheng; Cheng, Cheng; Sun, Qiyu 5 2019 Topological and geometric properties of refinable functions and MRA affine frames. Zbl 1221.42053 Han, Deguang; Sun, Qiyu; Tang, Wai-Shing 4 2011 Convergence of cascade algorithms and smoothness of refinable distributions. Zbl 1051.42028 Sun, Qiyu 4 2003 Eigenvalues of scaling operators and a characterization of B-splines. Zbl 1081.42028 Gao, Xiaojie; Lee, S. L.; Sun, Qiyu 4 2006 Some properties of five-coefficient refinement equation. Zbl 0854.42024 Dai, Xinrong; Huang, Daren; Sun, Qiyu 4 1996 Stable phaseless sampling and reconstruction of real-valued signals with finite rate of innovation. Zbl 1460.94031 Cheng, Cheng; Sun, Qiyu 4 2021 Phase retrieval of complex and vector-valued functions. Zbl 1494.94016 Chen, Yang; Cheng, Cheng; Sun, Qiyu 4 2022 Affine similarity of refinable functions. Zbl 0942.42019 Huang, Daren; Sun, Qiyu 3 1999 Asymptotic regularity of Daubechies’ scaling functions. Zbl 0941.42016 Lau, Ka-Sing; Sun, Qiyu 3 2000 Compactly supported both \(m\) and \(n\) refinable distributions. Zbl 1084.42517 Dai, Xinrong; Sun, Qiyu; Zhang, Zeyin 3 2000 Locally finite dimensional shift-invariant spaces in \(\mathbf{R}^d\). Zbl 1026.42027 Aldroubi, Akram; Sun, Qiyu 3 2002 Local dual and poly-scale refinability. Zbl 1055.42028 Sun, Qiyu 3 2005 \(A_ \infty\) condition characterized by maximal geometric mean operator. Zbl 0790.42009 Hu, Wei; Shi, Xianliang; Sun, Qiyu 3 1991 Sequence spaces and stability of integer translates. Zbl 0801.46006 Sun, Qiyu 3 1993 Multiresolution generated by several scaling functions. Zbl 0908.42020 Huang, Daren; Sun, Qiyu; Wang, Wei 2 1997 Convergence and boundedness of cascade algorithm in Besov spaces and Triebel-Lizorkin spaces. I. Zbl 1025.42026 Sun, Qiyu 2 2000 Convergence and boundedness of cascade algorithm in Besov spaces and Triebel-Lizorkin spaces. II. Zbl 1040.42037 Sun, Qiyu 2 2001 Local polynomial property and linear independence of refinable distributions. Zbl 1018.42019 Dai, Xinrong; Huang, Daren; Sun, Qiyu 2 2002 Weighted norm inequalities on spaces of homogeneous type. Zbl 0812.46018 Sun, Qiyu 2 1992 Interpolation filters with prescribed zeros and their refinable functions. Zbl 1214.42074 Micchelli, C. A.; Sun, Q. 2 2007 The \(abc\)-problem for Gabor systems and uniform sampling in shift-invariant spaces. Zbl 1362.42062 Dai, Xin-Rong; Sun, Qiyu 2 2015 Spectra of Bochner-Riesz means on \(L^p\). Zbl 1370.47037 Chen, Yang; Fang, Qiquan; Sun, Qiyu 2 2016 Homogeneous and nonhomogeneous refinable distributions in \(F^{q,\gamma}\). Zbl 1018.46020 Sun, Qiyu 2 2002 Spectrum of convolution dilation operators on weighted \(L^p\) spaces. Zbl 1014.47020 Gao, Xiaojie; Lee, S. L.; Sun, Qiyu 2 2001 \(L^p ({\mathbb{R}}^n)\) bounds for commutators of convolution operators. Zbl 1010.42006 Hu, Guoen; Sun, Qiyu; Wang, Xin 2 2002 Differential subalgebras and norm-controlled inversion. Zbl 1468.46055 Shin, Chang Eon; Sun, Qiyu 2 2020 Multiplier extension and sampling theorem on Hardy spaces. Zbl 0832.42007 Sun, Qiyu 1 1994 \(M\)-band scaling functions with minimal support are asymmetric. Zbl 0996.42021 Sun, Qiyu 1 2002 An inhomogeneous uncertainty principle for digital low-pass filters. Zbl 1103.94007 Bodmann, Bernhard G.; Papadakis, Manos; Sun, Qiyu 1 2006 Two problems about singular integral operators. Zbl 0761.42011 Sun, Qiyu 1 1991 Integral representation of \(M\)-band filters of Daubechies type. Zbl 0928.42019 Huang, Daren; Sun, Qiyu; Zhang, Zeyin 1 1997 Biorthogonal wavelet system for high-resolution image reconstruction. Zbl 1369.94284 Shen, Lixin; Sun, Qiyu 1 2004 Refinable functions from their values at integers. Zbl 1035.42036 Micchelli, Charles A.; Sun, Qiyu 1 2002 Spectrum of transition, subdivision and multiscale operators. Zbl 1040.42029 Gao, Xiaojie; Lee, S. L.; Sun, Qiyu 1 2002 An exact and fast computation of discrete Fourier transform for polar and spherical grid. Zbl 1414.94007 Abbas, Syed Alam; Sun, Qiyu; Foroosh, Hassan 1 2017 Inertial proximal ADMM for separable multi-block convex optimizations and compressive affine phase retrieval. Zbl 1523.65054 Li, Peng; Chen, Wen Gu; Sun, Qi Yu 1 2023 Phase retrieval of complex and vector-valued functions. Zbl 1494.94016 Chen, Yang; Cheng, Cheng; Sun, Qiyu 4 2022 Polynomial graph filters of multiple shifts and distributed implementation of inverse filtering. Zbl 1490.94035 Emirov, Nazar; Cheng, Cheng; Jiang, Junzheng; Sun, Qiyu 1 2022 Random sampling and reconstruction of concentrated signals in a reproducing kernel space. Zbl 1467.94013 Li, Yaxu; Sun, Qiyu; Xian, Jun 9 2021 Polynomial control on weighted stability bounds and inversion norms of localized matrices on simple graphs. Zbl 1492.05087 Fang, Qiquan; Shin, Chang Eon; Sun, Qiyu 5 2021 Stable phaseless sampling and reconstruction of real-valued signals with finite rate of innovation. Zbl 1460.94031 Cheng, Cheng; Sun, Qiyu 4 2021 Phase retrieval of real-valued signals in a shift-invariant space. Zbl 1436.94017 Chen, Yang; Cheng, Cheng; Sun, Qiyu; Wang, Haichao 20 2020 Differential subalgebras and norm-controlled inversion. Zbl 1468.46055 Shin, Chang Eon; Sun, Qiyu 2 2020 Spatially distributed sampling and reconstruction. Zbl 1435.94164 Cheng, Cheng; Jiang, Yingchun; Sun, Qiyu 20 2019 Polynomial control on stability, inversion and powers of matrices on simple graphs. Zbl 1416.46051 Shin, Chang Eon; Sun, Qiyu 13 2019 Phaseless sampling and reconstruction of real-valued signals in shift-invariant spaces. Zbl 1417.94014 Cheng, Cheng; Jiang, Junzheng; Sun, Qiyu 13 2019 Nonsubsampled graph filter banks: theory and distributed algorithms. Zbl 07123336 Jiang, Junzheng; Cheng, Cheng; Sun, Qiyu 5 2019 Phase retrieval from the magnitudes of affine linear measurements. Zbl 1375.42050 Gao, Bing; Sun, Qiyu; Wang, Yang; Xu, Zhiqiang 16 2018 Nonlinear frames and sparse reconstructions in Banach spaces. Zbl 1417.42044 Sun, Qiyu; Tang, Wai-Shing 8 2017 Sparsity and spatial localization measures for spatially distributed systems. Zbl 1354.93013 Motee, Nader; Sun, Qiyu 8 2017 An exact and fast computation of discrete Fourier transform for polar and spherical grid. Zbl 1414.94007 Abbas, Syed Alam; Sun, Qiyu; Foroosh, Hassan 1 2017 The \(abc\)-problem for Gabor systems. Zbl 1370.42024 Dai, Xin-Rong; Sun, Qiyu 12 2016 Sampling and Galerkin reconstruction in reproducing kernel spaces. Zbl 1360.94182 Cheng, Cheng; Jiang, Yingchun; Sun, Qiyu 9 2016 Spectra of Bochner-Riesz means on \(L^p\). Zbl 1370.47037 Chen, Yang; Fang, Qiquan; Sun, Qiyu 2 2016 Spectral measures with arbitrary Hausdorff dimensions. Zbl 1323.28010 Dai, Xin-Rong; Sun, Qiyu 27 2015 The \(abc\)-problem for Gabor systems and uniform sampling in shift-invariant spaces. Zbl 1362.42062 Dai, Xin-Rong; Sun, Qiyu 2 2015 Divergence of the mock and scrambled Fourier series on fractal measures. Zbl 1406.42008 Dutkay, Dorin Ervin; Han, Deguang; Sun, Qiyu 48 2014 Localized nonlinear functional equations and two sampling problems in signal processing. Zbl 1476.94018 Sun, Qiyu 16 2014 Rate of innovation for (non-)periodic signals and optimal lower stability bound for filtering. Zbl 1320.94026 Sun, Qiyu; Xian, Jun 16 2014 A unified formulation of Gaussian versus sparse stochastic processes. I: Continuous-domain theory. Zbl 1360.60079 Unser, Michael; Tafti, Pouya D.; Sun, Qiyu 15 2014 Wiener’s lemma for singular integral operators of Bessel potential type. Zbl 1285.47087 Fang, Qiquan; Shin, Chang Eon; Sun, Qiyu 8 2014 Convolution sampling and reconstruction of signals in a reproducing kernel subspace. Zbl 1275.42050 Nashed, M. Zuhair; Sun, Qiyu; Xian, Jun 22 2013 Wiener’s lemma: localization and various approaches. Zbl 1299.46045 Shin, Chang Eon; Sun, Qiyu 14 2013 Function spaces for sampling expansions. Zbl 1345.46017 Nashed, M. Zuhair; Sun, Qiyu 9 2013 Recovery of sparsest signals via \(\ell^q \)-minimization. Zbl 1266.94017 Sun, Qiyu 37 2012 Stability of localized integral operators on weighted \(L^p\) spaces. Zbl 1258.47063 Rim, Kyung Soo; Shin, Chang Eon; Sun, Qiyu 11 2012 Left-inverses of fractional Laplacian and sparse stochastic processes. Zbl 1251.26006 Sun, Qiyu; Unser, Michael 7 2012 On the Beurling dimension of exponential frames. Zbl 1209.28010 Dutkay, Dorin Ervin; Han, Deguang; Sun, Qiyu; Weber, Eric 53 2011 Wiener’s lemma for infinite matrices. II. Zbl 1253.46057 Sun, Qiyu 32 2011 Uncertainty principles and Balian-Low type theorems in principal shift-invariant spaces. Zbl 1215.42041 Aldroubi, Akram; Sun, Qiyu; Wang, Haichao 12 2011 Sparse approximation property and stable recovery of sparse signals from noisy measurements. Zbl 1393.94449 Sun, Qiyu 12 2011 Topological and geometric properties of refinable functions and MRA affine frames. Zbl 1221.42053 Han, Deguang; Sun, Qiyu; Tang, Wai-Shing 4 2011 Sampling and reconstruction of signals in a reproducing kernel subspace of \(L^p(\mathbb R^d)\). Zbl 1201.42022 Nashed, M. Zuhair; Sun, Qiyu 65 2010 Local reconstruction for sampling in shift-invariant spaces. Zbl 1192.94079 Sun, Qiyu 44 2010 Stability criterion for convolution-dominated infinite matrices. Zbl 1230.47056 Sun, Qiyu 6 2010 On the spectra of a Cantor measure. Zbl 1173.28003 Dutkay, Dorin Ervin; Han, Deguang; Sun, Qiyu 102 2009 Stability of localized operators. Zbl 1169.47013 Shin, Chang Eon; Sun, Qiyu 40 2009 Sampling expansions in reproducing kernel Hilbert and Banach spaces. Zbl 1183.42032 Han, Deguang; Nashed, M. Zuhair; Sun, Qiyu 30 2009 Reconstructing signals with finite rate of innovation from noisy samples. Zbl 1175.94043 Bi, Ning; Nashed, M. Zuhair; Sun, Qiyu 10 2009 Average sampling in \(L^2\). Zbl 1170.94319 Nashed, M. Zuhair; Sun, Qiyu; Tang, Wai-Shing 8 2009 Frames in spaces with finite rate of innovation. Zbl 1218.42015 Sun, Qiyu 30 2008 Wiener’s lemma for localized integral operators. Zbl 1257.42017 Sun, Qiyu 20 2008 Orthonormal dilations of parseval wavelets. Zbl 1214.42069 Dutkay, Dorin Ervin; Han, Deguang; Picioroaga, Gabriel; Sun, Qiyu 12 2008 Error analysis of frame reconstruction from noisy samples. Zbl 1390.94055 Aldroubi, Akram; Leonetti, Casey; Sun, Qiyu 11 2008 Wiener’s Lemma for infinite matrices. Zbl 1131.47013 Sun, Qiyu 62 2007 Interpolation filters with prescribed zeros and their refinable functions. Zbl 1214.42074 Micchelli, C. A.; Sun, Q. 2 2007 Nonuniform average sampling and reconstruction of signals with finite rate of innovation. Zbl 1130.94009 Sun, Qiyu 70 2006 Affine frame decompositions and shift-invariant spaces. Zbl 1091.42021 Chui, Charles K.; Sun, Qiyu 18 2006 Eigenvalues of scaling operators and a characterization of B-splines. Zbl 1081.42028 Gao, Xiaojie; Lee, S. L.; Sun, Qiyu 4 2006 An inhomogeneous uncertainty principle for digital low-pass filters. Zbl 1103.94007 Bodmann, Bernhard G.; Papadakis, Manos; Sun, Qiyu 1 2006 Convolution, average sampling, and a Calderon resolution of the identity for shift-invariant spaces. Zbl 1095.42022 Aldroubi, Akram; Sun, Qiyu; Tang, Wai-Shing 69 2005 Wiener’s lemma for infinite matrices with polynomial off-diagonal decay. Zbl 1069.42018 Sun, Qiyu 35 2005 Local dual and poly-scale refinability. Zbl 1055.42028 Sun, Qiyu 3 2005 Nonuniform average sampling and reconstruction in multiply generated shift-invariant spaces. Zbl 1049.42017 Aldroubi, Akram; Sun, Qiyu; Tang, Wai-Shing 49 2004 The matrix-valued Riesz lemma and local orthonormal bases in shift-invariant spaces. Zbl 1036.42035 Hardin, Douglas P.; Hogan, Thomas A.; Sun, Qiyu 14 2004 Total positivity and refinable functions with general dilation. Zbl 1042.42031 Goodman, T. N. T.; Sun, Qiyu 9 2004 Biorthogonal wavelet system for high-resolution image reconstruction. Zbl 1369.94284 Shen, Lixin; Sun, Qiyu 1 2004 Compactly supported tight affine frames with integer dilations and maximum vanishing moments. Zbl 1059.42022 Chui, Charles K.; He, Wenjie; Stöckler, Joachim; Sun, Qiyu 29 2003 Tight frame oversampling and its equivalence to shift-invariance of affine frame operators. Zbl 1013.42024 Chui, Charles K.; Sun, Qiyu 5 2003 Convergence of cascade algorithms and smoothness of refinable distributions. Zbl 1051.42028 Sun, Qiyu 4 2003 Non-uniform sampling in multiply generated shift-invariant subspaces of \(L^p(\mathbb{R}^d)\). Zbl 1025.42025 Aldroubi, Akram; Sun, Qiyu; Tang, Wai-Shing 5 2002 Locally finite dimensional shift-invariant spaces in \(\mathbf{R}^d\). Zbl 1026.42027 Aldroubi, Akram; Sun, Qiyu 3 2002 Local polynomial property and linear independence of refinable distributions. Zbl 1018.42019 Dai, Xinrong; Huang, Daren; Sun, Qiyu 2 2002 Homogeneous and nonhomogeneous refinable distributions in \(F^{q,\gamma}\). Zbl 1018.46020 Sun, Qiyu 2 2002 \(L^p ({\mathbb{R}}^n)\) bounds for commutators of convolution operators. Zbl 1010.42006 Hu, Guoen; Sun, Qiyu; Wang, Xin 2 2002 \(M\)-band scaling functions with minimal support are asymmetric. Zbl 0996.42021 Sun, Qiyu 1 2002 Refinable functions from their values at integers. Zbl 1035.42036 Micchelli, Charles A.; Sun, Qiyu 1 2002 Spectrum of transition, subdivision and multiscale operators. Zbl 1040.42029 Gao, Xiaojie; Lee, S. L.; Sun, Qiyu 1 2002 \(p\)-frames and shift invariant subspaces of \(L^p\). Zbl 0983.46027 Aldroubi, Akram; Sun, Qiyu; Tang, Wai-Shing 78 2001 Compactly supported distributional solutions of nonstationary nonhomogeneous refinement equations. Zbl 0980.42036 Sun, Qi Yu 8 2001 Regularity of Butterworth refinable functions. Zbl 1009.42021 Fan, Aihua; Sun, Qiyu 6 2001 Stability of the shifts of global supported distributions. Zbl 0993.46019 Sun, Qiyu 5 2001 Convergence and boundedness of cascade algorithm in Besov spaces and Triebel-Lizorkin spaces. II. Zbl 1040.42037 Sun, Qiyu 2 2001 Spectrum of convolution dilation operators on weighted \(L^p\) spaces. Zbl 1014.47020 Gao, Xiaojie; Lee, S. L.; Sun, Qiyu 2 2001 Asymptotic regularity of Daubechies’ scaling functions. Zbl 0941.42016 Lau, Ka-Sing; Sun, Qiyu 3 2000 Compactly supported both \(m\) and \(n\) refinable distributions. Zbl 1084.42517 Dai, Xinrong; Sun, Qiyu; Zhang, Zeyin 3 2000 Convergence and boundedness of cascade algorithm in Besov spaces and Triebel-Lizorkin spaces. I. Zbl 1025.42026 Sun, Qiyu 2 2000 Construction of compactly supported \(M\)-band wavelets. Zbl 0926.42021 Bi, Ning; Dai, Xinrong; Sun, Qiyu 20 1999 Compactly supported refinable distributions in Triebel-Lizorkin spaces and Besov spaces. Zbl 0928.42027 Ma, Bolin; Sun, Qiyu 6 1999 Sobolev exponent estimate and asymptotic regularity of the \(M\)-band Daubechies’ scaling functions. Zbl 0962.42029 Sun, Qiyu 6 1999 A characterization of compactly supported both \(m\) and \(n\) refinable distributions. Zbl 0942.42023 Sun, Qiyu; Zhang, Zeyin 6 1999 Affine similarity of refinable functions. Zbl 0942.42019 Huang, Daren; Sun, Qiyu 3 1999 Asymptotic behavior of \(M\)-band scaling functions of Daubechies type. Zbl 1055.42505 Bi, N.; Debnath, L.; Sun, Qiyu 9 1998 A class of \(M\)-dilation scaling functions with regularity growing proportionally to filter support width. Zbl 0943.42019 Shi, Xianliang; Sun, Qiyu 7 1998 \(M\)-band scaling function with filter having vanishing moments two and minimal length. Zbl 0938.42022 Sun, Qiyu; Zhang, Zeyin 5 1998 Multiresolution generated by several scaling functions. Zbl 0908.42020 Huang, Daren; Sun, Qiyu; Wang, Wei 2 1997 Integral representation of \(M\)-band filters of Daubechies type. Zbl 0928.42019 Huang, Daren; Sun, Qiyu; Zhang, Zeyin 1 1997 Refinable functions with compact support. Zbl 0870.42008 Sun, Qiyu 10 1996 Some properties of five-coefficient refinement equation. Zbl 0854.42024 Dai, Xinrong; Huang, Daren; Sun, Qiyu 4 1996 Multiplier extension and sampling theorem on Hardy spaces. Zbl 0832.42007 Sun, Qiyu 1 1994 An arithmetic characterization of the conjugate quadrature filters associated to orthonormal wavelet bases. Zbl 0792.42022 Cohen, Albert; Sun, Qiyu 12 1993 A note on the integer translates of a compactly supported distribution on \(\mathbb{R}\). Zbl 0785.41006 Sun, Qiyu 5 1993 Sequence spaces and stability of integer translates. Zbl 0801.46006 Sun, Qiyu 3 1993 Weighted norm inequalities for Bochner-Riesz operators and singular integral operators. Zbl 0786.42006 Shi, Xianliang; Sun, Qiyu 32 1992 Weighted norm inequalities on spaces of homogeneous type. Zbl 0812.46018 Sun, Qiyu 2 1992 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 767 Authors 61 Sun, Qiyu 22 Dutkay, Dorin Ervin 22 García, Antonio G. 19 Jørgensen, Palle E. T. 19 Xian, Jun 17 Han, Deguang 16 Jiang, Yingchun 14 Aldroubi, Akram 14 Dai, Xinrong 14 Gröchenig, Karlheinz 14 Zhang, Qingyue 13 Dong, Xinhan 13 He, Xinggang 12 Krishtal, Ilya Arkadievich 12 Li, Jianlin 12 Li, Song 12 Romero, José Luis 11 Bi, Ning 11 Lai, Chun-Kit 11 Pérez-Villalón, Gerardo 11 Shin, Chang Eon 11 Wu, Zhiyi 10 Han, Bin 10 Liu, Bei 10 Sun, Wenchang 10 Tang, Min-wei 10 Weber, Eric S. 9 Cheng, Cheng 9 Fang, Qiquan 9 Fu, Yan-Song 9 Hernández-Medina, Miguel Ángel 9 Li, Youfa 9 Liu, Jingcheng 8 An, Lixiang 8 Huang, Daren 8 Nashed, M. Zuhair 8 Unser, Michael A. 8 Zhang, Zeyin 7 Li, Rui 7 Zhang, Haizhang 6 Cabrelli, Carlos A. 6 Chen, Wengu 6 Chui, Charles Kam-tai 6 Fageot, Julien 6 Kornelson, Keri A. 6 Li, Qian 6 Molter, Ursula Maria 6 Patel, Dhiraj 6 Sivananthan, Sivalingam 6 Stöckler, Joachim 6 Stoeva, Diana T. 6 Yan, Zhi-Hui 6 Yang, Shouzhi 5 Carro, María Jesús 5 Christensen, Ole 5 Fu, Xiaoye 5 Führ, Hartmut 5 Grohs, Philipp 5 Jia, Rong-Qing 5 Li, Haixiong 5 Li, Yaxu 5 Li, Yunzhang 5 Liu, Rui 5 Liu, Zongsheng 5 Muñoz-Bouzo, María José 5 Radha, Ramakrishnan 5 Wang, Cong 5 Wang, Haichao 5 Wang, Yang 5 Wu, Chunlin 5 Yang, Jianbin 5 Zhang, Minmin 5 Zhu, Meng 4 Atreas, Nikolaos D. 4 Baskakov, Anatoliĭ Grigor’evich 4 Chen, Yang 4 Devaraj, Ponnaian 4 Haussermann, John 4 Hu, Guoen 4 Larson, David Royal 4 Lau, Kasing 4 Li, Jinjun 4 Li, Peng 4 Okoudjou, Kasso A. 4 Peng, Jigen 4 Pfander, Götz E. 4 Pilipović, Stevan 4 Sampath, Sivananthan 4 Shah, Firdous Ahmad 4 Shen, Yi 4 Shuman, Karen L. 4 Tang, Wai-Shing 4 Tao, Xiangxing 4 Tessera, Romain 4 Wang, Suping 4 Yin, Fengli 4 Zhao, Junjian 3 Ai, Wenhui 3 Alaifari, Rima 3 Baena-Miret, Sergi ...and 667 more Authors all top 5 Cited in 183 Serials 71 Applied and Computational Harmonic Analysis 50 Journal of Mathematical Analysis and Applications 46 The Journal of Fourier Analysis and Applications 34 Journal of Functional Analysis 30 Numerical Functional Analysis and Optimization 18 Proceedings of the American Mathematical Society 18 International Journal of Wavelets, Multiresolution and Information Processing 17 Journal of Approximation Theory 14 Acta Mathematica Sinica. 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Series A. Series B 2 Potential Analysis 2 Integral Transforms and Special Functions 2 Discrete Dynamics in Nature and Society 2 Analysis (München) 2 Foundations of Computational Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 SIAM Journal on Imaging Sciences 2 Journal of Nonlinear Science and Applications 2 GEM - International Journal on Geomathematics 2 Statistics and Computing 2 Axioms 2 Sahand Communications in Mathematical Analysis 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of the Franklin Institute 1 Letters in Mathematical Physics 1 Reports on Mathematical Physics 1 Studia Mathematica 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Collectanea Mathematica 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Functional Analysis and its Applications ...and 83 more Serials all top 5 Cited in 42 Fields 544 Harmonic analysis on Euclidean spaces (42-XX) 226 Information and communication theory, circuits (94-XX) 180 Functional analysis (46-XX) 128 Measure and integration (28-XX) 106 Operator theory (47-XX) 96 Approximations and expansions (41-XX) 91 Numerical analysis (65-XX) 41 Probability theory and stochastic processes (60-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 29 Operations research, mathematical programming (90-XX) 25 Statistics (62-XX) 17 Real functions (26-XX) 17 Abstract harmonic analysis (43-XX) 16 Functions of a complex variable (30-XX) 15 Partial differential equations (35-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Computer science (68-XX) 12 Combinatorics (05-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 9 Number theory (11-XX) 9 Difference and functional equations (39-XX) 9 Integral equations (45-XX) 7 Integral transforms, operational calculus (44-XX) 6 Topological groups, Lie groups (22-XX) 5 Group theory and generalizations (20-XX) 5 Potential theory (31-XX) 5 Special functions (33-XX) 5 Systems theory; control (93-XX) 4 Quantum theory (81-XX) 4 Biology and other natural sciences (92-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Ordinary differential equations (34-XX) 2 Algebraic geometry (14-XX) 2 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Geophysics (86-XX) 1 Field theory and polynomials (12-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year