Mexican hat wavelet transform of generalized functions in G′ spaces

被引：0
|
作者：
Rawat, Aparna [1 ]
Singh, Abhishek [1 ]
机构：
[1] Banasthali Vidyapith, Dept Math & Stat, Banasthali 304022, India
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2021年 / 131卷 / 02期
关键词：
Mexican hat wavelet transform (MHWT); wavelet transform; Weierstrass transform; generalized functions; FOURIER-ANALYSIS; MULTIPLICATION; CONVOLUTION;
D O I：
10.1007/s12044-021-00627-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the Mexican hat wavelet transform (MHWT) of generalized function space G '. The space G ' consists of purely entire functions with certain advance conditions developed by Howell (J. Math. Anal. Appl.180 (1993) 79-92; 187 (1994). An inversion formula is also established.
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页数：13
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