线性典范邓克尔变换的哈代类型定理

Pub Date : 2024-03-13 DOI:10.1007/s11785-023-01478-x

Ahmed Saoudi

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引用次数: 0

摘要

在本文中，我们建立了线性典范邓克尔变换和分数邓克尔变换的哈代定理，从而推广了一大类积分变换。作为应用，我们推导了分数汉克尔型变换、一维邓克尔菲涅尔变换、线性规范变换和分数傅里叶变换的哈代定理。

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Hardy Type Theorems for Linear Canonical Dunkl Transform

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.

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