On the Abelian properties of Dunkl transforms: A distributional approach

The objective of this study is to establish Abelian theorems for the Dunkl transform applied to distributions with compact support, as well as to specific function spaces consisting of generalized functions.

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Publication Details

Journal
Asian-European Journal of Mathematics
Published
2025-12-19
DOI
https://doi.org/10.1142/s1793557125501578
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
Field-Weighted Citation Impact
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article

On the Abelian properties of Dunkl transforms: A distributional approach

Akhilesh Prasad, Randhir Kumar Verma
Asian-European Journal of Mathematics
Mathematical Analysis and Transform Methods
article

On the Abelian properties of Dunkl transforms: A distributional approach

Akhilesh Prasad, Randhir Kumar Verma
article en

Abstract

The objective of this study is to establish Abelian theorems for the Dunkl transform applied to distributions with compact support, as well as to specific function spaces consisting of generalized functions.

Asian-European Journal of Mathematics
Indian Institute of Technology Dhanbad (IN), Siksha O Anusandhan University (IN), Institute of Technical Education (SG)
Openalex Percentile: Top 46%
Mathematical Analysis and Transform Methods
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