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摘要: 用D表示n阶可逆实矩阵的集合,Γ表示Rn中的点集.小波分析的一个基本问题是对什么样的(D,Γ)存在小波.本文证明了当D={Aj,j∈Z}, A是n阶实矩阵, 满足A是对角矩阵块时, 存在(D,Zn)小波. 其中, A1是扩展矩阵,A2是行列式不为零的幂等阵.Abstract: Let D be a collection of invertible n×n real matrices and Γ a collection of points in Rn. this paper proved that when D={Aj,j∈Z}, A is a real n×n matrix, such thatA be diagonal matrix with submatrices us its elemets, where A1 is expansive, A2 is idempotent with det A2≠0, then there exists a (D,Γ) wavelet.
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Key words:
- (DΓ) waveletlatticeexpansive matrix /
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