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.

引用

页数：13

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