CONTINUOUS BESSEL WAVELET TRANSFORM OF DISTRIBUTIONS

被引：3
|
作者：
Upadhyay, Santosh Kumar [1 ]
Maurya, Jay Singh [1 ]
机构：
[1] Indian Inst Technol BHU, Dept Math Sci, Varanasi 221005, Uttar Pradesh, India
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2021年 / 51卷 / 04期
关键词：
Hankel transform; continuous Bessel wavelet transform; Zemanian space and its dual; Sobolev space; Besov space and Triebel-Lizorkin space; HANKEL CONVOLUTION; SPACES; OPERATORS; EQUATIONS;
D O I：
10.1216/rmj.2021.51.1463
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The continuous Bessel wavelet transform is extended to distributions in H'(mu) (0, infinity) and obtained continuity results. Boundedness of continuous Bessel wavelet transform is investigated in a generalized Sobolev space, Besov space and Triebel-Lizorkin space.
引用
收藏
页码：1463 / 1488
页数：26
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