| n维连续小波变换的局部正则性 |
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| 引用本文： | 唐尧生. n维连续小波变换的局部正则性[J]. 湖南大学学报(自然科学版), 1995, 22(4): 6-12 |
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| 作者姓名： | 唐尧生 |
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| 作者单位： | 湖南大学应用数学系 |
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| 摘 要： | Ｈｏｌｓｃｈｎｅｉｄｅｒ和Ｔｃｈａｍｉｔｃｈｉａｎ讨论了一维连续小波变换的局部正则性，建立了一维不可微函数的Ｈｏｌｄｅｒ连续性与其小波变换绝对值衰退性之间的关系，本文将其结论推广到ｎ（≥２）维情形。
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| 关 键 词： | 小波变换 恒等分解 局部正则性 |
Local Regularity Properties of Continuous Wavelet Transform in n Dimensions |
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| Tang Raosheng. Local Regularity Properties of Continuous Wavelet Transform in n Dimensions[J]. Journal of Hunan University(Naturnal Science), 1995, 22(4): 6-12 |
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| Authors: | Tang Raosheng |
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| Abstract: | Holschneider and Tchamitchian have discussed local regularity propertiesof one-dimesional continuous wavelet transform. Thev have established the relation between Holder continuity of one-dimensional nondifferentiable function and the decay ofthe absolute value of its wavelet transform. We generalize the results down to the case of dimensions in this paper. |
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| Keywords: | Continuous wavelet transform Holder continuity identity resolution |
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