| 连续小波变换在函数空间中的应用 |
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| 引用本文： | 屈汉章,宋国乡.连续小波变换在函数空间中的应用[J].工程数学学报,2003,20(1):43-48. |
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| 作者姓名： | 屈汉章 宋国乡 |
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| 作者单位： | 1. 西安邮电学院信息与控制系,西安,710061
2. 西安电子科技大学理学院,西安,710071 |
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| 摘 要： | 某些微分方程和相应的积分方程之间的关系被讨论；这些微分方程通过边境小波变换可被转换成相应的积分方程，它们不仅在弱收敛意义下而且在范围数收敛意义下是等价的；关于这些微分方程的讨论就与相应的积分方程的讨论联系起来。
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| 关 键 词： | Fourier变换 连续小波变换 重构公式 函数空间 |
An Application of Continuous Wavelet Transform in Function Spaces |
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| Abstract.An Application of Continuous Wavelet Transform in Function Spaces[J].Chinese Journal of Engineering Mathematics,2003,20(1):43-48. |
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| Authors: | Abstract |
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| Abstract: | The relation between some differential equations and the integral equations is discussed. The differential equations can be transformed into the integral equations by using the continuous wavelet transform. The differential equations and the integral equations are equivalent not only in the weak topology but also in the strong topology. The discussion on the differential equations can be connected with the discussion on the integral equations. |
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| Keywords: | fourier transform continuous wavelet transform reconstruction formula |
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