Work

Real Paley-Wiener theorems for the Dunkl transform on Rd

Year: 2005

Type: preprint

Abstract: In this paper, we establish real Paley-Wiener theorems for the Dunkl transform on Rd. More precisely, we characterize the functions in the Schwartz space S(IRd) and in L2k(Rd) whose Dunkl transform has bounded, unbounded, convex and nonconvex support.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0507211

Authors: Mejjaoli, Hatem, Trimèche, Khalifa

Institution: Tunis University

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1493816550

Cites: 7

Cited by: 1

Related to: 10