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	1. Small Support Spline Riesz Wavelets in Low Dimensions
	HAN Bin,MO Qun,SHEN Zuowei
	Mathematics 26 January 2011
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	Abstract:B.~Han and Z.~Shen constructed afamily of univariate short support Riesz waveletsfrom uniform B-splines in 2006. A bivariate spline Riesz wavelet basis fromthe Loop scheme was derived by B.~Han and Z.~Shen in 2005.Motivated bythese two papers, we develop in this article ageneral theory and a construction method to derive small supportRiesz wavelets in low dimensions from refinable functions. Inparticular, we obtain small support spline Riesz wavelets frombivariate and trivariate box splines. Small support Riesz waveletsare desirable for developing efficient algorithms in variousapplications. For example, the short support Riesz wavelets constructed byB.~Han and Z.~Shen were used in a surface fitting algorithm byM.J.~Johnson, Z.~Shen and Y.H.~Xu in 2009, and the Riesz wavelet basis from the Loop scheme wasused in a very efficient geometric mesh compression algorithm byA. Khodakovsky, P. Schr"oder and W. Sweldens in 2000.
	TO cite this article:HAN Bin,MO Qun,SHEN Zuowei. Small Support Spline Riesz Wavelets in Low Dimensions[OL].[26 January 2011] http://en.paper.edu.cn/en_releasepaper/content/4408648


	2. Remark on the Restricted Isometry Property in Orthogonal Matching Pursuit
	MO Qun,SHEN Yi
	Mathematics 26 January 2011
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	Abstract:This paper demonstrates theoretically that if the restrictedisometry constant of the compressed sensing matrixsatisfies a sufficient condition,then a greedy algorithm called Orthogonal Matching Pursuit (OMP) canrecover a signal with K nonzero entries in K iterations. Incontrast, matrices are also constructed with restricted isometryconstant satisfying a stronger conditionsuch that OMP can not recover K-sparse x in K iterations. Thisresult shows that the conjecture given by Dai and Milenkovic is true.
	TO cite this article:MO Qun,SHEN Yi. Remark on the Restricted Isometry Property in Orthogonal Matching Pursuit[OL].[26 January 2011] http://en.paper.edu.cn/en_releasepaper/content/4408549

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	3. ON BOUNDARY BEHAVIOR OF THE CAUCHY TYPE INTEGRAL IN HYPERCOMPLEX ANALYSIS
	Du Jinyuan
	Mathematics 04 May 2010
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	Abstract:We survey the researches of the boundary behavior for the Cauchy type integrals defined on a smooth closed surface in the Euclidean space with values on the Clifford algebra, or defined on the distinguished boundary of the direct product of two domains with values on the universal Clifford algebra, which includes Sochocki-Plemelj formulae and Privalov-Muskhelishvili theorems, Poincare-Bertrand formulae. Then some boundary value problems and singular integral equation in Clifford analysis are introduced.
	TO cite this article:Du Jinyuan. ON BOUNDARY BEHAVIOR OF THE CAUCHY TYPE INTEGRAL IN HYPERCOMPLEX ANALYSIS[OL].[ 4 May 2010] http://en.paper.edu.cn/en_releasepaper/content/42553


	4. Inversion Formulas for the Spherical Radon-Dunkl Transform
	Zhongkai Li,Song Futao
	Mathematics 14 January 2009
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	Abstract:The spherical Radon-Dunkl transform R_{kappa}, associated to weight functions invariant under a finite reflection group, is introduced,and some elementary properties are obtained in terms of $h$-harmonics. Several inversion formulas of $R_{kappa}$ are given with the aid of spherical Riesz-Dunkl potentials, the Dunkl operators, and some appropriate wavelet transforms.
	TO cite this article:Zhongkai Li,Song Futao. Inversion Formulas for the Spherical Radon-Dunkl Transform[OL].[14 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27760


	5. The Decomposition of Product Space $H^{1}_{L}\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\times BMO_{L}$
	Li Pengtao ,Peng Lizhong
	Mathematics 27 May 2008
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	Abstract:In analogy with classical results([BIJZ]), we prove that functions in the product of the Hardy space $H^{1}_{L}$ associated with Schr“{o}dinger operators $L=-triangle+V$ and its dual space $BMO_{L}$ admit a suitable decomposition. We obtain that for $fin H^{1}_{L}$ and $bin BMO_{L}$, the point-wise product $b cdot f$ as a Schwartz distribution, denoted by $b times f in S＇(R^{n})$, can be decomposed in two parts; precisely, $b times f=u+v$ where $u in L^{1}(R^{n})$ while $v$ lies in Hardy-Orlicz space associated with Schr”{o}dinger operators $H^{{mathcal{P}}}_{L}(R^{n},d mu)$.
	TO cite this article:Li Pengtao ,Peng Lizhong . The Decomposition of Product Space $H^{1}_{L}\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\times BMO_{L}$[OL].[27 May 2008] http://en.paper.edu.cn/en_releasepaper/content/21797


	6. Schwarz-Pick Estimates for bounded holomorphic functions in the unit ball of C^n
	Chen Zhihua,Liu Yang
	Mathematics 05 May 2008
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	Abstract:We give a Schwarz-Pick Estimate for bounded holomorphic functions on unit ball in C^n, and generalize some early work of Schwarz-Pick Estimates for bounded holomorphic functions on unit disk in C.
	TO cite this article:Chen Zhihua,Liu Yang. Schwarz-Pick Estimates for bounded holomorphic functions in the unit ball of C^n[OL].[ 5 May 2008] http://en.paper.edu.cn/en_releasepaper/content/21093


	7. The classification of proper holomorphic mappings between special Hartogs triangles of different dimensions
	Chen Zhihua ,Liu Yang
	Mathematics 05 May 2008
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	Abstract:In this paper, we give the classification of proper holomorphic mappings between special Hartogs triangles of different dimensions; furthermore, some new results on proper holomorphic mappings between special Hartogs triangles of different dimensions are introduced. It can be found that our work generalizes the existed results on special Hartogs triangles of same dimensions.
	TO cite this article:Chen Zhihua ,Liu Yang . The classification of proper holomorphic mappings between special Hartogs triangles of different dimensions[OL].[ 5 May 2008] http://en.paper.edu.cn/en_releasepaper/content/21073


	8. L2--oundedness of Hilbert transforms along variable curves
	Chen Jiecheng,Zhu Xiangrong
	Mathematics 01 December 2006
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	Abstract:For $\phi \in C^1(R^1)$, $\gamma \in C^2(R^1)$, odd or even, $\gamma (0)=\gamma ^{\prime }(0)=0$, convex on $(0,\infty )$, define a Hilbert transform along variable curves by $$H_{\phi ,\gamma }(f)(x_1,x_2)=p.v.\int_{-\infty }^{+\infty }f(x_1-t,x_2-\phi (x_1)\gamma (t))\frac{dt}t. $$In this paper, we shall first give a counter-example to show that under the condition of Nagel-Vance-Wainger-Weinberg on $\gamma $, the $L^2-$boundedness of $H_{\phi ,\gamma }$ may fail even if $\phi \in C^\infty (R^1)$. Then, we relax Bennett
	TO cite this article:Chen Jiecheng,Zhu Xiangrong. L2--oundedness of Hilbert transforms along variable curves[OL].[ 1 December 2006] http://en.paper.edu.cn/en_releasepaper/content/10103


	9. Stability of G-frames
	Sun Wenchang
	Mathematics 16 February 2006
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	Abstract: G-frames are natural generalizations of frames which cover many other recent generalizations of frames, e.g., bounded quasi-projectors, frames of subspaces, outer frames, oblique frames, pseudo-frames and a class of time-frequency localization operators. Moreover, it is known that g-frames are equivalent to stable space splittings. In this paper, we study the stability of g-frames. We first present some properties for g-Bessel sequences. Then we prove that g-frames are stable under small perturbations. We also study the stability of dual g-frames.
	TO cite this article:Sun Wenchang. Stability of G-frames[OL].[16 February 2006] http://en.paper.edu.cn/en_releasepaper/content/5252

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