Convergence of Riemannian sums of inverse wavelet transforms

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：yisheng

【摘要】

：

We study the approximation of the inverse wavelet transform using Riemannian sums.We show that when the Fourier transforms of wavelet functions satisfy some mod

【作者】

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SUN XuDong SUN WenChang

【机构】

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DepartmentofMathematicsandLPMC

【出处】

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中国科学：数学英文版

【发表日期】

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2011年4期

【关键词】

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小波变换黎曼傅立叶变换小波函数采样密度无穷大运营商 wavelet frames wavelet transforms Riemannian sum

【基金项目】

：

supported partially by National Natural Science Foundation of China（Grant Nos.10971105 10990012）, Natural Science Foundation of Tianjin （Grant No.09JCYBJC01000）

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We study the approximation of the inverse wavelet transform using Riemannian sums.We show that when the Fourier transforms of wavelet functions satisfy some moderate decay condition,the Riemannian sums converge to the function to be reconstructed as the s

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Convergence of Riemannian sums of inverse wavelet transforms

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