【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。更多还原

【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.更多还原