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中文摘要：
本文研究小波级数的一致收敛性与收敛的速度并得到以下结论．在尺度函数的支集有界的条件下，当m→＋∞时，小波级数一致收敛于，的逆傅里叶变换，当m→-∞时，小波级数一致收敛于0．并利用逼近的方法在Sobolev空间中分别给出其收敛速度的精确估计．
英文摘要：
Uniform convergence and convergence rates of wavelet expansion are considered in this paper. It is shown that the wavelet expansion converges to the inverse Fourier transform of f uniformly as m tends to positive infinity and converges to 0 uniformly as m tends to negative infinity, when the support of the scale function is bounded. Moreover, by means of approximation, the estimations of their convergence rates in Sobolev space are established, respectively.
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