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Author ID: sun.qiyu Recent zbMATH articles by "Sun, Qiyu"
Published as: Sun, Qiyu; Sun, Qi Yu; Sun, Q.
Homepage: https://sciences.ucf.edu/math/person/qiyu-sun/
External Links: MGP · Google Scholar · ResearchGate
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

Publications by Year

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 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
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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. English Series
13 Applicable Analysis
13 Advances in Computational Mathematics
12 Banach Journal of Mathematical Analysis
11 Advances in Mathematics
11 Journal of Computational and Applied Mathematics
11 Results in Mathematics
11 Acta Applicandae Mathematicae
11 Journal of Inequalities and Applications
10 Mathematische Nachrichten
10 Science China. Mathematics
9 Applied Mathematics. Series B (English Edition)
8 Constructive Approximation
8 Fractals
8 Complex Analysis and Operator Theory
7 Analysis and Applications (Singapore)
6 Analysis Mathematica
6 Mathematical Methods in the Applied Sciences
6 Nonlinearity
6 Mathematics of Computation
6 Forum Mathematicum
6 Linear Algebra and its Applications
6 Mathematical Problems in Engineering
5 Canadian Mathematical Bulletin
5 Monatshefte für Mathematik
5 Journal of Function Spaces
4 Applied Mathematics and Computation
4 Integral Equations and Operator Theory
4 Mathematische Annalen
4 Transactions of the American Mathematical Society
4 Journal of Complexity
4 Applied Mathematics Letters
4 The Journal of Geometric Analysis
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Mediterranean Journal of Mathematics
4 Frontiers of Mathematics in China
4 Sampling Theory, Signal Processing, and Data Analysis
3 Inverse Problems
3 Archiv der Mathematik
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Computational Optimization and Applications
3 Journal of Mathematical Sciences (New York)
3 Abstract and Applied Analysis
3 Fractional Calculus & Applied Analysis
3 Asian-European Journal of Mathematics
3 Journal of Pseudo-Differential Operators and Applications
3 Annals of Functional Analysis
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Physics
2 Linear and Multilinear Algebra
2 Rocky Mountain Journal of Mathematics
2 Inventiones Mathematicae
2 SIAM Journal on Control and Optimization
2 Tôhoku Mathematical Journal. Second Series
2 Advances in Applied Mathematics
2 Zeitschrift für Analysis und ihre Anwendungen
2 Science in China. Series A
2 International Journal of Mathematics
2 Multidimensional Systems and Signal Processing
2 Aequationes Mathematicae
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Stochastic Processes and their Applications
2 Mathematical Programming. 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
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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)

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