Frames in two dimensions arising from wavelet transforms

Frames in two dimensions arising from wavelet transforms
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由小波变换产生的二维框架

DOI:
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发表时间:
2001
期刊:
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
影响因子:
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通讯作者:
L. Rebollo
L. Rebollo
中科院分区:
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文献类型:
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作者:
L. Rebollo

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3给出了Hilbert空间L2(R2,dτds s2)上生成函数的一种数学格式.所提出的函数构成L2(R2,(dτ ds/s2))的框架,这一事实保证了完备性条件。此类函数由以下成分组成:(i)小波变换,以及(ii)L2(R,dt)的框架。
3 mathematical scheme for generating functions spanning the Hilbert space L 2 ( R 2 , dτds s 2 ) is advanced. The completeness condition is guaranteed by the fact that the proposed functions constitute a frame for L2 (R2, (dτ ds/s2)). Such functions are built up out of the following ingredients: (i) the wavelet transform, and (ii) a frame for L2(R, dt).