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Sampling
o M. Zuhiar Nashed, Qiyu Sun
and Wai-Shing Tang, Average sampling in L^2 , C. Acad. Sci. Paris,
Ser I, 347(2009), 1007—1010. ( Download
) o Deguang Han, M. Zuhiar
Nashed, and Qiyu Sun, Sampling expansions in reproducing kernel Hilbert
and Banach spaces , Numerical Functional Analysis and Optimization,
( Download
) o Qiyu Sun, Local
reconstruction for sampling in shift-invariant space, Advances in
Computational Mathematics, To appear ( Download)
o Ning Bi, M. Zuhair Nashed,
and Qiyu Sun, Reconstructing signals with finite rate of innovation from
noisy samples, Acta Applicandae Mathematicae, 107(2009), 339--372.
(
Download) o Akram Aldroubi, Casey
Leonetti, Qiyu Sun, Error analysis of frame reconstruction from noisy
samples, IEEE Transcations on Signal Processing, 56(2008),
2311--2325. ( Download)
o Qiyu Sun, Frames in
spaces with finite rate of innovation, Advances in Computational
Mathematics, 28(2008), 301-329. ( Download)
o C. K. Chui and Qiyu Sun, Tight
over-sampled affine frame system and over-sampling rates, Applied and
Computational Harmonic Analysis, 22(2007), 1--15. (
Download) o Qiyu Sun, Non-uniform
average sampling and reconstruction of signals with finite rate of innovation,
SIAM Journal of Mathematical Analysis 38(2006), 1389--1422. (
Download ) o Akram Aldroubi, Qiyu Sun,
Wai-Shing Tang, Convolution, average sampling, and a Calderon resolution
of the identity for shift-invariant spaces Journal of Fourier Analysis
and Applications, 22(2005), 215 - 244. ( Download) o Akram Aldroubi, Qiyu Sun
and Wai-Shing Tang Non-uniform average sampling and reconstruction in
multiply generated shift-invariant spaces, Constr. Approx.,
20(2004), 173--189. ( Download) o C. K. Chui and Qiyu Sun,
Tight frame oversampling and its equivalenceto shift-invariance of affine
frame operators, Proc. Amer. Math. Soc., 131(2003), 1527-1538. (Download) o A. Aldroubi, Qiyu Sun and
W.-S. Tang, Localization of Calderon convolution in the Fourier domain ,
Advance in Constructive Approximation, Vanderbilt 2003 , Edited by: M.
Neamtu and E. B. Saff, Nashboro Press, Brentwood, 2004. pp. 25--35. (Download) o Akram Aldroubi, Qiyu Sun
and Wai-shing Tang, Non-uniform sampling in multiply generated
shift-invariant subspaces of L^p(R^d), International Conference on
Wavelet Analysis and its Applications(edited by D. Deng, D. Huang, R.-Q.
Jia, W. Lin and J.-Z. Wang),AMS/IP Studies in Advanced Mathematics, 25(2002),
1-8. o Daren Huang, Youming Liu
and Qiyu Sun, Some extension of Paley-Wiener theorem, Chinese
Annual of Math., 19B(1998), 331-340. o Ning Bi and Qiyu Sun, Hermite
interpolation and stability of scalingfunctions, J. Hangzhou Normal
University, 1995. o Qiyu Sun, Multiplier
extension and sampling theorem on Hardy space, Publicacions
Matematiques, 38(1994), 441-454. ( Download) Affine
frames
o C. K. Chui and Qiyu Sun, Tight
over-sampled affine frame system and over-sampling rates, Applied and
Computational Harmonic Analysis, 22(2007), 1--15. (
Download) o C. K. Chui and Qiyu Sun, Affine
frame decompositions and shift-invariant spaces, Applied and
Computational Harmonic Analysis, 20(2006), 74--107. ( Download) o D. Hardin, T. Hogan and
Qiyu Sun, The matrix-valued Riesz lemma and local orthonormal bases in
shift-invariant spaces, Adv. Comput. Math., 20(2004), 367-384. ( Download) o C. K. Chui, W. He, J.
Stoeckler and Qiyu Sun, Compactly supported tight affine frames with
integer dilations and maximum vanishing moments , Adv. Comp. Math. ,
Special Issue on Frames, 18(2003), 159-187. (Download) o C. K. Chui and Qiyu Sun,
Tight frame oversampling and its equivalenceto shift-invariance of affine
frame operators, Proc. Amer. Math. Soc., 131(2003), 1527-1538. (Download) Signal
processing
o Ning Bi, M. Zuhair Nashed,
and Qiyu Sun, Reconstructing signals with finite rate of innovation from
noisy samples, Acta Applicandae Mathematicae, 107(2009), 339--372.
(
Download) o Qiyu Sun, Local
reconstruction for sampling in shift-invariant space, Advances in
Computational Mathematics, To appear ( Download)
o Akram Aldroubi, Casey
Leonetti, Qiyu Sun, Error analysis of frame reconstruction from noisy
samples, IEEE Transcations on Signal Processing, 56(2008),
2311--2325. ( Download)
o Qiyu Sun, Frames in
spaces with finite rate of innovation, Advances in Computational
Mathematics, 28(2008), 301-329. ( Download)
o X. Wang, Q. Sun, R. Eastes,
B. Reinisch, C. E. Valladares, Short-term relationship of total electron
content with geomagnetic activity in equatorial regions, J. Geophys.
Res., 113(2008), A11308. ( Download) o Ning Bi, Qiyu Sun, Daren
Huang, Zhihua Yang and Jiwu Huang, Robust image watermarking based on
multiband wavelets and empirical mode decomposition, IEEE Transactions
on Image Processing. , 16(2007), 1956--1966. ( Download)
o Charles A. Micchelli and
Qiyu Sun, Interpolating filters with prescribed zeros and their refinable
functions, Comm. Pure Appl. Anal., 6 (2007), 789--808. ( Download)
o Yanfei Wang, Zaiwen Wen,
Zuhair Nashed, and Qiyu Sun, On direct methods for time-limited signal and
image reconstruction and enhancement, International Journal of
Wavelets, Multiresolution and Information Processing, 5(2007), 51--68. o Qiyu Sun, Non-uniform
average sampling and reconstruction of signals with finite rate of innovation,
SIAM Journal of Mathematical Analysis 38(2006), 1389--1422. (
Download ) o B. G. Bodmann, M.
Papadakis, and Qiyu Sun, An inhomogenous uncertainty principle for digital
low-pass filters, Journal of Fourier Analysis and Applications.
12(2006), 181--211. ( Download )
o Yanfei Wang, Zaiwen Wen,
Zuhair Nashed, and Qiyu Sun, Direct fast method for time-limited signal
reconstruction, Applied Optics, 45(2006), 3111--3126. (
Download) o Lixin Shen and Qiyu Sun, Bi-orthogonal
wavelet system for high-resolution image reconstruction , IEEE Trans.
Signal Processing, 52(2004), 1997--2011. (Download)
o Ning Bi, Qiyu Sun, Daren
Huang, Zhihua Yang and Jiwu Huang, Robust image watermarking based on
multiband wavelets and empirical mode decomposition, IEEE Transactions
on Image Processing. , 16(2007), 1956--1966. ( Download)
o Tim N. T. Goodman and Qiyu
Sun, Total positivity and refinable functions with general dilation , Applied
and Computational Harmonic Analysis, 16(2004), 69--89. (Download) o Lixin Shen and Qiyu Sun, Bi-orthogonal
wavelet system for high-resolution image reconstruction , IEEE Trans.
Signal Processing, 52(2004), 1997--2011. (Download) o Qiyu Sun, M-band scaling
functions with minimal support are asymmetric, Applied and
Computational Harmonic Analysis, 12(2002), 166-170. (Download) o Xinrong Dai, Daren Huang
and Qiyu Sun, Local polynomial property and linear independence of
refinable distributions, Archiv Math., 78(2002), 74-80. (Download) o Qiyu Sun, Ning Bi and Daren
Huang, An Introduction to Multiband Wavelets, Zhejiang University
Press, 2001. (Download)
o Qiyu Sun An algorithm
for the construction of symmetric and anti-symmetric $M$-band wavelets,
In: Wavelet Applications in Signal and Image Processing VIII, Proceedings
of SPIE 4119, Akram Aldroubi, Andrew F. Laine, and Michael A. Unser eds.,
2000, 384-394. ( Download) o Qiyu Sun,Sobolev
exponent estimate and asymptotic regularity of M band Daubechies' scaling
functions, Constructive Approximation, 15(1999),441-465. (Download,) o Ning Bi, Xinrong Dai and
Qiyu Sun, Construction of compactly supported M band wavelets, Appl.
Comp. Harmonic Anal., 6(1999), 113-131 ( Download ) o Xinrong Dai, Qiyu Sun and
Zeyin Zhang, Compactly supported both m and n refinable
distributions, East Journal of Approximations, 6(2000),201-209.( Download ) o Qiyu Sun and Zeyin Zhang, A
characterization of compactly supported both m and n refinable distribution,J.
Approx. Th., 99(1999),198-216. ( Download ) o Daren Huang and Qiyu Sun, Affine
similarity of refinable functions,ApproximationTheory and its
Applications, 15(3)(1999), 81-91.( Download ) o Qiyu Sun and Zeyin Zhang, M-band
scaling function with filter having vanishing moments two and minimal length,
J. Math. Anal. Appl.,222(1998), 225-243.( Download ) o Xianliang Shi and Qiyu Sun,
A class of M-dilation scaling functionswith regularity growing
proportionally to filter support width, Proc.Amer. Math. Soc.,
126(1998), 3501-3506. ( Download) o Ning Bi, Lokenath Debnath
and Qiyu Sun, Asymptotic behaviour of M-bandscaling functions of
Daubechies type, Zeitschrift fur Analysis undihe Anwendugen,
17(1998), 813-830. o Daren Huang, Qiyu Sun and
Zeyin Zhang, Integral representation of M-band Daubechies type, Chinese
Sciences Bulletin, 42(1997), 803-807. o Xinrong Dai, Daren Huang
and Qiyu Sun, Some properties of five-coefficientrefinement equation, Archiv
Math., 66(1996), 299-309. ( Download ) Shift-invariant
spaces
o Deguang Han, M. Zuhiar
Nashed, and Qiyu Sun, Sampling expansions in reproducing kernel Hilbert
and Banach spaces , Numerical Functional Analysis and Optimization,
( Download
) o Qiyu Sun, Local
reconstruction for sampling in shift-invariant space, Advances in
Computational Mathematics, To appear ( Download)
o Chang Eon Shin and Qiyu
Sun, Stability of localized operators, Journal of Functional
Analysis, 256(2009), 2417--2439. ( Download)
o Akram Aldroubi, Casey
Leonetti, Qiyu Sun, Error analysis of frame reconstruction from noisy
samples, IEEE Transcations on Signal Processing, 56(2008),
2311--2325. ( Download)
o Qiyu Sun, Frames in
spaces with finite rate of innovation, Advances in Computational
Mathematics, 28(2008), 301-329. ( Download)
o Qiyu Sun, Local dual and
poly-scale refinability , Proc. Amer. Math. Soc., 133(2005),
1175--1184. (Download)
o D. Hardin, T. Hogan and
Qiyu Sun, The matrix-valued Riesz lemma and local orthonormal bases in
shift-invariant spaces, Adv. Comput. Math., 20(2004), 367-384. ( Download) o Qiyu Sun, Localization
of Stability and p-frames in the Fourier domain , Proceedings of
Special Sessions on Wavelets: WAVELETS, FRAMES, and OPERATOR THEORY , in
AMS Contemporary Mathematics (CONM) series no. 345, Edited by: Christopher
Heil, Palle E. T. Jorgensen, and David R. Larson, pp. 299--315, 2004. (Download)
o A. Aldroubi, Qiyu Sun and
W.-S. Tang, Localization of Calderon convolution in the Fourier domain ,
Advance in Constructive Approximation, Vanderbilt 2003 , Edited by: M.
Neamtu and E. B. Saff, Nashboro Press, Brentwood, 2004. pp. 25--35. (Download) o Akram Aldroubi and Qiyu
Sun, Locally finite dimensional shift-invariant spaces in RR^d.
Proc. Amer. Math. Soc. , 130 (2002), 2641-2654. (Download) o Qiyu Sun,Linear
independence of the integer translates of compactly supported distributions,
Applied Math, A Journal of Chinese University, 16B(2001), 381-396. o Akram Aldroubi, Qiyu Sun
and Wai-Shing Tang, p-frames and shift invariant subspaces of L^p, J.
Fourier Anal. Appl., 7:1(2001), 1-21. ( Download) o Qiyu Sun, Stability of
the shifts of global supported distributions, Journal of Mathematical
Analysis and Applications, 261(2001), 113-125. ( Download) o Qiyu Sun Linear
dependence of the shifts of vector-valued compactly supported distributions Unpublished
Manuscript, 2000 (Revised 2003) ( Download) o Akram Aldroubi, Qiyu Sun
and Wai-Shing Tang Connection between p-frames and p-Riesz bases in
locally finite SIS ofL^p(R^d) Proceeding of SPIE 4119: Wavelet
Applications in Signal and Image Processing VIII, A. Aldroubi, A. F. Laine
and M. A. Unser eds., SPIE, 2000, 668-674. o Qiyu Sun, Sequence
spaces and stability of integer translates,Zeitschriftf\"ur
Analysis und ihre Anwendungen, 12(1993), 567-584. o Qiyu Sun, A note on the
integer translates of a compactly supported distribution on $R$, Archiv
Math., 60(1993), 359-363. ( Download)
Refinable
functions
o Qiyu Sun, Local
reconstruction for sampling in shift-invariant space, Advances in
Computational Mathematics, To appear ( Download)
o Dorin Ervin Dutkay, Deguang
Han, Gabriel Picioroaga and Qiyu Sun, Orthonormal dilations of Parseval
wavelets, Mathematische Annalen, 341(2008), 483-515. ( Download) o Charles A. Micchelli and
Qiyu Sun, Interpolating filters with prescribed zeros and their refinable
functions, Comm. Pure Appl. Anal., 6 (2007), 789--808. ( Download)
o Xiaojie Gao, S. L. Lee and
Qiyu Sun, Eigenvalues of scaling operators and a characterization of
B-splines , Proceeding of the American Mathematical Society,
134(2006), 1051--1057.(
Download ) o Qiyu Sun, Local dual and
poly-scale refinability , Proc. Amer. Math. Soc., 133(2005),
1175--1184. (Download)
o Qiyu Sun, Convergence of
cascade algorithms and smoothness of refinable distributions, Chinese
Annals of Mathematics, 24(2003), No. 3, 367-386. ( Download) o Charles A. Micchelli and
Qiyu Sun, Refinable functions from their values at integers.
Vietnam J. Math., 30 (2002), 395-411. (Download) o Xiaojie Gao, S. L. Lee and
Qiyu Sun, Spectrum of transition, subdivision and multiscale operators,
In Wavelet Analysis (Hong Kong 2001) (edited by Ding-xuan Zhou), World
Science Publishing, 2002, pp. 123-138. ( Download) o Qiyu Sun, Homogeneous
and nonhomogeneous refinable distributions in F^{q,gamma}, International
Conference on Wavelet Analysis and its Applications(edited by D. Deng, D.
Huang, R.-Q. Jia, W. Lin and J.-Z. Wang), AMS/IP Studies in Advanced
Mathematics, 25(2002), 235-244. o Ai-Hua Fan and Qiyu Sun, Regularity
of Butterworth refinable functions, Asia J. Math., 5(2001),
433-440. (
Download) o Qiyu Sun, Compactly supported
distributional solutions of nonstationary nonhomogeneous refinement equation,
Acta Math. Sinica, 17(2001), 1-14.( Download )
o Qiyu Sun,Convergence and
boundedness of cascade algorithm in Besov spaces and Triebel-Lizorkin spaces:
Part II , Advance in Mathematics (China), 30(2001), 22-36.. (Download) o Daren Huang, Yunzhang Li
and Qiyu Sun, Multivariate subdivision schemes in L^p spaces, Advance
in Mathematics (China), 30(2001), 525-532.. o Seng Laun Lee, Qiyu Sun and
Xiaojie Gao, Spectrum of convolution dilation operator on weighted L^p
space, In "Challenges for the 21st Century", Proceedings of
the International Conference on Fundamental Sciences: Mathematics and
Theoretical Physics, edited by L H Y Chen, J P Jesudason, C H Lai, C H
Oh, K K Phua and E-C Tan, World Scientific Press, 2001, pp. 51-72.(Download) o Seng Laun Lee and Qiyu Sun,
Boundedness of cascade algorithms in Besov spaces. First
International Congress of Chinese Mathematicians (Beijing, 1998),pp.
473--479, AMS/IP Stud. Adv. Math., 20, Amer. Math. Soc., Providence, RI,
2001. o Ka-Sing Lau and Qiyu Sun, Asymptotic
regularity of Daubechies' scaling functions, Proceeding American
Mathematical Society, 128(2000),1087-1095.( Download) o Qiyu Sun, Convergence
and boundedness of cascade algorithm in Besov spaces and Triebel-Lizorkin
spaces, Part I,, Advance in Mathematics (China), 29(2000),507-526.( Download ) o Bolin Ma and Qiyu Sun, Compactly
supported refinable distribution inTriebel-Lizorkin spaces and Besov spaces,
J. Fourier Anal. Appl.,5(1999), 87-104. ( Download ) o Daren Huang, Yunzhang Li
and Qiyu Sun, Refinable function and refinement mask with polynomialand
exponential decay, Chinese Annal of Math., 20A(1999), 483-488.
also Chin. J. Contemp. Math. 20(1999), No.3, 393-400 o Ning Bi and Qiyu Sun, Linear
independence of refinable distributionssupported on $[0,2]\times [0,2]$,
Acta Math. Appl. Sinica(EnglishSer.), 14(1998), 388-395. o Qiyu Sun, Nonhomogeneous
refinement equation; Existence, regularity and biorthogonality, Unpublished
Manuscript, 1998 (
Download ) o Daren Huang, Qiyu Sun and
Wei Wang, Multiresolution generated by severalscaling functions, Advances
in Mathematics (China), 26(1997),165-180. o Qiyu Sun, Refinable
functions with compact support, J. Approx.Theory, 86(1996),
240-252. o Yanzhang Zheng and Qiyu
Sun, A compactly supported orthonormal wavelet of non-tensor type, Applied
Math.-JCU, 11B(1996), 243-246. o Xianliang Shi and Qiyu Sun,
Cardinal refinable functions on plane, Unpublished Manuscript,
1995. ( Download)
o Albert Cohen and Qiyu Sun, An
arithmetic characterization of the conjugatequadrature filters associated to
orthonormal wavelet bases , SIAMJ. Math. Anal., 24(1993),
1355-1360. o Qiyu Sun, Two-scale
difference equation: local and global linear independence, Unpublished
Manuscript, 1991. (
Download ) Fourier
analysis
o Dorin Ervin Dutkay, Deguang
Han, and Qiyu Sun, On the spectra of a Cantor measure, Advances in Mathematics,
221(2009), 251--276. ( Download) o Guoen Hu, Qiyu Sun and Xin
Wang, L^p(R^n) bounds for commutators of convolution operators, Colloquium
Mathematicum, 93(2002), 11-20. o Guo-En Hu and Qiyu Sun, L^p(R^n)
boundedness for the commutators of convolution operators, Chinese Ann.
Math. Ser. A, 22 (2001), 509--516. o Guoen Hu, Bolin Ma and Qiyu
Sun, Boundedness of the multiple singular integral operators on product
spaces, Hokkaido Math. J. 29 (2000), no. 3, 659--667. o Li-Yuan Chen and Qiyu Sun, Behaviour
of an oscillatory singular integralon weighted local Hardy spaces, Acta
Math. Sinica (N.S.), 13(1997),305-320. ( Download ) o Qiyu Sun, A new kind of
space of Triebel-Lizorkin type, ApproximationTheory and its
Application, 12:2(1996), 80-84. o Quande Chen and Qiyu Sun, A
note on uncertainty principle, ApproximationTheory and its Application,
11(1995), No. 1, 6-9. o Qiyu Sun, Multiplier
extension and sampling theorem on Hardy space, Publicacions
Matematiques, 38(1994), 441-454. ( Download) o Qiyu Sun, Weighted weak
type (1, 1) boundedness for some rough operators, J.Hangzhou
University, 21(1994), 7-10. o Guoen Hu and Qiyu Sun, Weighted
norm inequalities for a maximal operator, J.Hangzhou University,
20(1993), 367-370. (with Guoen Hu). o Guoen Hu and Qiyu Sun, On
the $L^p$ boundedness of a Marcinkiewicz integral, J.Hangzhou
University, 20(1993), 145-158. o Xianliang Shi and Qiyu Sun,
Weighted norm inequalities for Bochner-Rieszoperators and singular
integral operators, Proc. Amer. Math. Soc.,116(1992),
665-673. (
Download ) o Qiyu Sun, Weighted norm
inequalities on spaces of homogeneous type,StudiaMathematica,
101(1992), 241-251. o Qiyu Sun, Pointwise
convergence of solutions of Schr\"odinger equationwith potential, Acta
Mathematica Scientia, 12(1992), 412-418. o Qiyu Sun, Two problems
about singular integral operator, Approximation Theory and its
Application, 7:2(1991), 83-98. (Reseach Announcement IN J.
Mathematical Research and Exposition, 11(1991), 453-454.) o Wei Hu, Xianliang Shi and
Qiyu Sun, $A_\infty$ condition characterizedby maximal geometric mean
operator, IN Harmonic Analysis, Proceeding,Tianjin, 1988, Lecture
Notes in Mathematics 1494, edited by Min-TehCheng, Xing-wei Zhou and Dong-Gao
Deng, Springer Verlag, 1991, pp. 68-72. o Qiyu Sun, Weighted
inequalities for a singular integral, J. HangzhouUniversity,
18(1991), 357-358. (Reseach Announcement) o Xianliang Shi and Qiyu Sun,
A singular integral on product space,IN A Friendly Collection of
Mathematical Papers I, edited by WangRenhong & Zhou Yunshi, Jilin
University Press, Changchun, China, 1990,pp. 129-132. o Qiyu Sun, A note on
oscillatory integral on product space, Journal of Hangzhou University ,
16(1989), 109-110. (Reseach Announcement) Miscellaneous
topics (Wiener's Lemma, Riesz Lemma etc)
o Chang Eon Shin and Qiyu
Sun, Stability of localized operators, Journal of Functional
Analysis, 256(2009), 2417--2439. ( Download)
o Qiyu Sun, Wiener's lemma
for localized integral operators, Applied and Computational Harmonic
Analysis, 25(2008), 148-167. ( Download)
o Qiyu Sun, Wiener's lemma
for infinite matrices, Transactions of the American Mathematical
Society 359 (2007), 3099--3123. ( Download)
o Qiyu Sun, Wiener's lemma
for infinite matrices with polynomial off-diagonal decay , C. Acad.
Sci. Paris, Ser I, 340(2005), 567-570. ( Download )
o D. Hardin, T. Hogan and
Qiyu Sun, The matrix-valued Riesz lemma and local orthonormal bases in
shift-invariant spaces, Adv. Comput. Math., 20(2004), 367-384. ( Download) o Albert Cohen, Luz Myriam
Echeverry and Qiyu Sun Finite Element Wavelets, Unpublished Manuscript
1999. ( Download)
o Xianliang Shi and Qiyu Sun,
Approximation of periodic continuous functionsby logarithmic means of
Fourier series, Acta Math. Hungar. 63(1994),103-112. o Qiyu Sun, A remark on
multiresolution analysis of $L^p(R^d)$, ColloquiumMathematiccum,
LXVI(1994), 257-264. o Daren Huang and Qiyu Sun, Some
topics on wavelet analysis,Appl.Math.-JCU, 8(1993), 86-110. o Qiyu Sun, China 2009 (BNU
talk 1); ( BNU
talk 2); (
BPU talk 1) (
BPU talk 2) (
ZJU talk ) |