Hardy Type Theorems for Linear Canonical Dunkl Transform

被引：5

作者：

Saoudi, Ahmed ^{[1
,2
]}

机构：

[1] Northern Border Univ, Coll Sci, Dept Math, Ar Ar, Saudi Arabia

[2] Univ Tunis El Manar, Tunis, Tunisia

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 03期

关键词：

Linear canonical Dunkl transform; Fractional Dunkl transform; Hardy theorem; FRACTIONAL POWER; FOURIER;

D O I：

10.1007/s11785-023-01478-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish an analogue of Hardy's theorems for the linear canonical Dunkl transform and fractional Dunkl transform, which generalizes a large class of a family of integral transforms. As application, we derive Hardy type theorems for fractional Hankel type transform, one dimension Dunkl Fresnel transform, linear canonical transform and fractional Fourier transform.

引用

页数：10

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