SUBDIVISION

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A Construction of Multiresolution Analysis on Interval
《Acta Mathematica Sinica,English Series》2007年第4期705-710,共6页Di Rong CHEN Dao Hong XIANG 
Research supported in part by NSF of China under Grant 10571010 and 10171007
We present a concrete method of constructing multiresolution analysis on interval. The method generalizes the corresponding results of Cohen, Daubechies and Vial [Appl. Comput. Harmonic Anal., 1（1993）, 54-81]. By th...
关键词：Multiresolution analysis Refinable function Approximation order Subdivision operator 
A Generalization of the Mean Size Formula of Wavelet Packets in L_p被引量：1
《Acta Mathematica Sinica,English Series》2005年第6期1475-1486,共12页Song LI Guo Mao WANG Zhi Song LIU 
NSF of China under Grant Nos.10071071 and 10471123
The purpose of this paper is to investigate the mean size formula of wavelet packets in Lp for 0 〈 p ≤ ∞. We generalize a mean size formula of wavelet packets given in terms of the p-norm joint spectral radius and ...
关键词：mean size joint spectral radii wavelet packet subdivision sequence 
Dimensions of the Kernels of Linear Operators and Their Algebraic Adjoints被引量：1
《Acta Mathematica Sinica,English Series》1998年第4期441-446,共6页Yang Lihua, Institute of Mathematics, Academia Sinica, Beijing 100080, China Department of Scientific Computing, Zhongshan University, Guangzhou 510275, ChinaSun Xingming, Department of Physics, Xiangtan Teachers’ College, Xiangtan 411201, China 
In this paper we study the kernels of a linear operator and its algebraic adjoint by studying their restriction on a subspace, a Banach space, such that the restriction is the difference of the identity and a compact ...
关键词：Linear space Compact operator Subdivision operator 
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