• Uncertainty Principles for the Cherednik Transform

• Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/122/03/0429-0436

• Keywords

Cherednik operators; Cherednik transform; Miyachi’s theorem; Beurling’s theorem.

• Abstract

We shall investigate two uncertainty principles for the Cherednik transform on the Euclidean space $\mathfrak{a}$; Miyachi’s theorem and Beurling’s theorem. We give an analogue of Miyachi’s theorem for the Cherednik transform and under the assumption that $\mathfrak{a}$ has a hypergroup structure, an analogue of Beurling’s theorem for the Cherednik transform.

• Author Affiliations

1. Department of Mathematics, Faculty of Sciences of Ain Chock, University of Hassan II, Casablanca, Morocco
2. Department of Mathematics, Keio University at Fujisawa, 5322 Endo, Kanagawa 252-8520, Japan
3. School of Science and Technology, Kwansei Gakuin University, 2-1 Gakuen, Sanda-City 6691337, Japan

• Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 5
November 2019

• Editorial Note on Continuous Article Publication

Posted on July 25, 2019