Qiyu Sun's Publications

Publications in chronological order
Publications in research topics
Publications in journal category
Waveletters
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Books

 

1.    Qiyu Sun, Ning Bi and Daren Huang, An Introduction to Multiband Wavelets, Zhejiang University Press, 2001. (Download)

Refereed Journal Papers

1.    Akram Aldroubi, Qiyu Sun and Haichao Wang, Uncertainty principles and Balian-Low type theorems in principal shift-invariant spaces,  Applied and Computational Harmonic Analysis, accepted (Download)

2.    Qiyu Sun and Michael Unser, Left-inverse of fractional Laplacian and sparse stochastic processes, Advances in Computational Mathematic, accepted (Download)

3.    Qiyu Sun, Wiener’s lemma for infinite matrices II, Constructive Approximation, accepted  (Download)

4.    Deguang Han, Qiyu Sun and Wai-Shing Tang, Topological and geometric properties of refinable functions and MRA affine frames,  Applied and Computational Harmonic Analysis, accepted (Download)

5.    Dorin Ervin Dutkay, Deguang Han, Qiyu Sun, and Eric Weber, On the Beurling dimension of exponential frames, Advances in Mathematics, 226(2011), 285-297. (Download)

6.    Qiyu Sun,  Stability criterion for convolution-dominated infinite matrices, Proceeding American Mathematical Society, 138(2010), 3933-3943. ( Download)

7.    Qiyu Sun, Local reconstruction for sampling in shift-invariant space, Advances in Computational Mathematics, 32(2010), 335—352. ( Download)

8.    M. Zuhair Nashed and Qiyu Sun,  Sampling and reconstruction of signals in a reproducing kernel subspace of L^p(R^d), Journal of Functional Analysis, 258(2010), 2422-2452. ( Download)

9.    Deguang Han, M. Zuhiar Nashed, and Qiyu Sun, Sampling expansions in reproducing kernel Hilbert and Banach spaces , Numerical Functional Analysis and Optimization, 30(2009), 971-987 ( Download )

10.                       Dorin Ervin Dutkay, Deguang Han, and Qiyu Sun, On the spectra of a Cantor measure, Advances in Mathematics, 221(2009), 251--276. ( Download)

11.                       Chang Eon Shin and Qiyu Sun, Stability of localized operators, Journal of Functional Analysis, 256(2009), 2417--2439. ( Download)

12.                       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 )

13.                       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)

14.                       Qiyu Sun, Wiener's lemma for localized integral operators, Applied and Computational Harmonic Analysis, 25(2008), 148-167. ( Download)

15.                       Dorin Ervin Dutkay, Deguang Han, Gabriel Picioroaga and Qiyu Sun, Orthonormal dilations of Parseval wavelets, Mathematische Annalen, 341(2008), 483-515 ( Download)

16.                       Akram Aldroubi, Casey Leonetti, Qiyu Sun, Error analysis of frame reconstruction from noisy samples, IEEE Transcations on Signal Processing, 56(2008), 2311--2325. ( Download)

17.                       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)

18.                       Qiyu Sun, Frames in spaces with finite rate of innovation, Advances in Computational Mathematics, 28(2008), 301-329. ( Download)

19.                       Qiyu Sun, Wiener's lemma for infinite matrices, Transactions of the American Mathematical Society 359 (2007), 3099--3123. ( Download)

20.                       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)

21.                       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)

22.                       Charles A. Micchelli and Qiyu Sun, Interpolating filters with prescribed zeros and their refinable functions , Communication of Pure and Applied Analysis, 6 (2007), 789--808. ( Download)

23.                       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.

24.                       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 )

25.                       C. K. Chui and Qiyu Sun, Affine frame decompositions and shift-invariant spaces , Applied and Computational Harmonic Analysis, 20(2006), 74--107. ( Download)

26.                       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 )

27.                       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 )

28.                       Yanfei Wang, Zaiwen Wen, Zuhair Nashed, and Qiyu Sun, Direct fast method for time-limited signal reconstruction, Applied Optics, 45(2006), 3111--3126. ( Download)

29.                       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)

30.                       Qiyu Sun, Wiener's lemma for infinite matrices with polynomial off-diagonal decay , C. Acad. Sci. Paris, Ser I, 340(2005), 567-570. ( Download )

31.                       Qiyu Sun, Local dual and poly-scale refinability , Proc. Amer. Math. Soc., 133(2005), 1175--1184. (Download)

32.                       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)

33.                       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)

34.                       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)

35.                       Lixin Shen and Qiyu Sun, Bi-orthogonal wavelet system for high-resolution image reconstruction , IEEE Trans. Signal Processing, 52(2004), 1997--2011. (Download)

36.                       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)

1.    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)

2.    Qiyu Sun, Convergence of cascade algorithms and smoothness of refinable distributions, Chinese Annals of Mathematics, 24(2003), No. 3, 367-386. ( Download)

3.    Charles A. Micchelli and Qiyu Sun, Refinable functions from their values at integers. Vietnam J. Math., 30 (2002), 395-411. (Download)

4.    Akram Aldroubi and Qiyu Sun, Locally finite dimensional shift-invariant spaces in RR^d. Proc. Amer. Math. Soc. , 130 (2002), 2641-2654. (Download)

5.    Qiyu Sun, M-band scaling functions with minimal support are asymmetric, Applied and Computational Harmonic Analysis, 12(2002), 166-170. (Download)

6.    Xinrong Dai, Daren Huang and Qiyu Sun, Local polynomial property and linear independence of refinable distributions, Archiv Math., 78(2002), 74-80. (Download)

7.    Guoen Hu, Qiyu Sun and Xin Wang, L^p(R^n) bounds for commutators of convolution operators, Colloquium Mathematicum, 93(2002), 11-20.

8.    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)

9.    Qiyu Sun, Stability of the shifts of global supported distributions, Journal of Mathematical Analysis and Applications, 261(2001), 113-125. ( Download)

10.                       Ai-Hua Fan and Qiyu Sun, Regularity of Butterworth refinable functions, Asia J. Math., 5(2001), 433-440. ( Download)

11.                       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.

12.                       Qiyu Sun, Compactly supported distributional solutions of nonstationary nonhomogeneous refinement equation, Acta Math. Sinica, 17(2001), 1-14.( Download )

13.                       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)

14.                       Daren Huang, Yunzhang Li and Qiyu Sun, Multivariate subdivision schemes in L^p spaces, Advance in Mathematics (China), 30(2001), 525-532..

15.                       Qiyu Sun,Linear independence of the integer translates of compactly supported distributions, Applied Math, A Journal of Chinese University, 16B(2001), 381-396.

16.                       Ka-Sing Lau and Qiyu Sun, Asymptotic regularity of Daubechies' scaling functions, Proceeding American Mathematical Society,  128(2000),1087-1095.( Download)

17.                       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 )

18.                       Xinrong Dai, Qiyu Sun and Zeyin Zhang, Compactly supported both m and nrefinable distributions, East Journal of Approximations, 6(2000),201-209.( Download )

19.                       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.

20.                       Qiyu Sun,Sobolev exponent estimate and asymptotic regularity of M band Daubechies' scaling functions, Constructive Approximation, 15(1999),441-465. (Download,)

21.                       Ning Bi, Xinrong Dai and Qiyu Sun, Construction of compactly supportedM band wavelets, Appl. Comp. Harmonic Anal., 6(1999), 113-131 ( Download )

22.                       Bolin Ma and Qiyu Sun, Compactly supported refinable distribution inTriebel-Lizorkin spaces and Besov spaces, J. Fourier Anal. Appl.,5(1999), 87-104. ( Download )

23.                       Qiyu Sun and Zeyin Zhang, A characterization of compactly supportedboth m and n refinable distribution,J. Approx. Th., 99(1999),198-216. ( Download )

24.                       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

25.                       Daren Huang and Qiyu Sun, Affine similarity of refinable functions,ApproximationTheory and its Applications, 15(3)(1999), 81-91.( Download )

26.                       Qiyu Sun and Zeyin Zhang, M-band scaling function with filter havingvanishing moments two and minimal length, J. Math. Anal. Appl.,222(1998), 225-243. ( Download )

27.                       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)

28.                       Daren Huang, Youming Liu and Qiyu Sun, Some extension of Paley-Wienertheorem, Chinese Annual of Math., 19B(1998), 331-340. 

29.                       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. 

30.                       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. 

31.                       Daren Huang, Qiyu Sun and Zeyin Zhang, Integral representation of M-band Daubechies type, Chinese Sciences Bulletin, 42(1997), 803-807. 

32.                       Daren Huang, Qiyu Sun and Wei Wang, Multiresolution generated by severalscaling functions, Advances in Mathematics (China), 26(1997),165-180. 

33.                       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 )

34.                       Qiyu Sun, Refinable functions with compact support, J. Approx.Theory, 86(1996), 240-252. 

35.                       Xinrong Dai, Daren Huang and Qiyu Sun, Some properties of five-coefficientrefinement equation, Archiv Math., 66(1996), 299-309. ( Download )

36.                       Yanzhang Zheng and Qiyu Sun, A compactly supported orthonormal waveletof non-tensor type, Applied Math.-JCU, 11B(1996), 243-246. 

37.                       Qiyu Sun, A new kind of space of Triebel-Lizorkin type, ApproximationTheory and its Application, 12:2(1996), 80-84. 

38.                       Quande Chen and Qiyu Sun, A note on uncertainty principle, ApproximationTheory and its Application, 11(1995), No. 1, 6-9. 

39.                       Ning Bi and Qiyu Sun, Hermite interpolation and stability of scalingfunctions, J. Hangzhou Normal University, 1995. 

40.                       Xianliang Shi and Qiyu Sun, Approximation of periodic continuous functionsby logarithmic means of Fourier series, Acta Math. Hungar. 63(1994),103-112. 

41.                       Qiyu Sun, Multiplier extension and sampling theorem on Hardy space, Publicacions Matematiques, 38(1994), 441-454. ( Download)

42.                       Qiyu Sun, A remark on multiresolution analysis of $L^p(R^d)$, ColloquiumMathematiccum, LXVI(1994), 257-264. 

43.                       Qiyu Sun, Weighted weak type (1, 1) boundedness for some rough operators, J.Hangzhou University, 21(1994), 7-10. 

44.                       Albert Cohen and Qiyu Sun, An arithmetic characterization of the conjugatequadrature filters associated to orthonormal wavelet bases , SIAMJ. Math. Anal., 24(1993), 1355-1360. 

45.                       Qiyu Sun, A note on the integer translates of a compactly supporteddistribution on $R$, Archiv Math., 60(1993), 359-363. ( Download)

46.                       Qiyu Sun, Sequence spaces and stability of integer translates,Zeitschriftf\"ur Analysis und ihre Anwendungen, 12(1993), 567-584. 

47.                       Daren Huang and Qiyu Sun, Some topics on wavelet analysis,Appl.Math.-JCU, 8(1993), 86-110. 

48.                       Guoen Hu and Qiyu Sun, Weighted norm inequalities for a maximal operator, J.Hangzhou University, 20(1993), 367-370. (with Guoen Hu). 

49.                       Guoen Hu and Qiyu Sun, On the $L^p$ boundedness of a Marcinkiewicz integral, J.Hangzhou University, 20(1993), 145-158. 

50.                       Xianliang Shi and Qiyu Sun, Weighted norm inequalities for Bochner-Rieszoperators and singular integral operators, Proc. Amer. Math. Soc.,116(1992), 665-673. ( Download )

51.                       Qiyu Sun, Weighted norm inequalities on spaces of homogeneous type,Studia Mathematica, 101(1992), 241-251. 

52.                       Qiyu Sun, Pointwise convergence of solutions of Schr\"odinger equationwith potential, Acta Mathematica Scientia, 12(1992), 412-418. 

53.                       Qiyu Sun, Two problems about singular integral operator, ApproximationTheory and its Application, 7:2(1991), 83-98.

Conference Proceeding Papers and Book Chapters

54.                       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)

55.                       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)

56.                       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)

57.                       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.

58.                       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.

59.                       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)

60.                       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.

61.                       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)

62.                       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.

63.                       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. 

64.                       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. 

 

Research Announcement

 

65.                       Qiyu Sun, Two problems about singular integral operator J. Mathematical Research and Exposition, 11(1991), 453-454.

66.                       Qiyu Sun, Weighted inequalities for a singular integral, J. HangzhouUniversity, 18(1991), 357-358. (Research Announcement)

67.                       Qiyu Sun, A note on oscillatory integral on product space, Journal of Hangzhou University , 16(1989), 109-110. (Reseach Announcement)

 

Unpublished Technical Reports

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Updated at 10-27-05 by Qiyu Sun

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