CHARACTERIZATIONS OF THE INVERSION FORMULA OF THE CONTINUOUS BESSEL WAVELET TRANSFORM OF DISTRIBUTIONS IN Hμ′(Double-struck capital R plus )

被引：2

作者：

Maurya, Jay singh ^{[1
]}

Upadhyay, Santosh Kumar ^{[1
]}

机构：

[1] Indian Inst Technol BHU, Dept Math Sci, Varanasi 221005, India

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 02期

关键词：

Hankel Transform; Test Functions; Distribution; Bessel Wavelet Transform; HANKEL CONVOLUTION; SPACES; OPERATORS;

D O I：

10.1142/S0218348X23400303

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The inversion formula of the continuous Bessel wavelet transform of distributions is investigated by exploiting the theory of the Hankel transform. Some auxiliary results related to the inversion formula are also obtained in this paper. Using the theory of inversion formula of continuous Bessel wavelet transform of distributions, the Calderon reproducing formula is developed. The continuous Bessel wavelet transform of distributions through heat equation is discussed and its inversion formula is considered.

引用

页数：19

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