CONTINUITY OF THE FRACTIONAL HANKEL WAVELET TRANSFORM ON GELFAND-SHILOV SPACES

被引：3

作者：

Mahato, Kanailal ^{[1
]}

Singh, Prashant ^{[1
]}

机构：

[1] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi, Uttar Pradesh, India

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2021年 / 51卷 / 03期

关键词：

fractional Hankel transform; wavelet transform; Gelfand-Shilov space;

D O I：

10.1216/rmj.2021.51.963

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give characterization results of the fractional Hankel transform as well its inverse on some Gelfand-Shilov spaces of type W. Furthermore, we derive the boundedness properties of wavelet transforms involving the fractional Hankel transform on certain suitably constructed spaces of type W.

引用

页码：963 / 972

页数：10

共 24 条

[1]

[Anonymous], 1968, PURE APPL MATH

[2]

Chui C. K., 1992, WAVELET ANAL ITS APP, V1

[3] Characterizations of the Gelfand-Shilov spaces via Fourier transforms [J].