Mexican hat wavelet transform of distributions

被引：20
作者：
Pathak, R. S. [1 ]
Singh, Abhishek [1 ]
机构：
[1] Banaras Hindu Univ, Inst Sci, DST Ctr Interdisciplinary Math Sci, Varanasi 221005, Uttar Pradesh, India
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2016年 / 27卷 / 06期
关键词：
Distribution space; wavelet transform; Mexican hat wavelet; Weierstrass transform;
D O I：
10.1080/10652469.2016.1155569
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Theory of Weierstrass transform is exploited to derive many interesting new properties of the Mexican hat wavelet transform. A real inversion formula in the differential operator form for the Mexican hat wavelet transform is established. Mexican hat wavelet transform of distributions is defined and its properties are studied. An approximation property of the distributional wavelet transform is investigated which is supported by a nice example.
引用
收藏
页码：468 / 483
页数：16
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