Paley–Wiener-Type Theorems for the Quaternion Dunkl Transform

IF 1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2026-10-13 DOI:10.1007/s00006-026-01466-2

Shanshan Li, Minggang Fei

引用次数: 0

Abstract

The aim of this paper is to establish several versions of Paley–Wiener-type theorems for the two-sided quaternion Dunkl transform (QDT) in \(\mathbb {R}^2\). This transform combines the non-commutative structure of quaternions with the reflection symmetry and weighted analysis inherent in Dunkl theory.

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四元数Dunkl变换的paley - wiener型定理

本文的目的是建立中双边四元数Dunkl变换（QDT）的几种pely - wiener型定理 \(\mathbb {R}^2\)．该变换将四元数的非交换结构与Dunkl理论固有的反射对称性和加权分析相结合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Applied Clifford Algebras 数学-物理：数学物理

CiteScore

2.20

自引率

13.30%

发文量

审稿时长

3 months

期刊介绍： Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.