Uncertainty principles for the Opdam-Cherednik transform on modulation spaces

Abstract

In this paper, we establish the Cowling-Price's, Hardy's and Morgan's uncertainty principles for the Opdam-Cherednik transform on modulation spaces associated with this transform. The proofs of the theorems are based on the properties of the heat kernel associated with the Jacobi-Cherednik operator and the versions of the Phragmén-Lindlöf type result for the modulation spaces.