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 Phragm{é}n-Lindl{ö}f type result for the modulation spaces.

References in corpus (1)

• Remarks on the inverse Cherednik-Opdam transform on the real line

Cited by in corpus (6)

• Hausdorff operators associated with the Opdam--Cherednik transform in Lebesgue spaces
• Localization operators associated with the windowed Opdam-Cherednik transform on modulation spaces
• Uncertainty principles for the windowed Opdam--Cherednik transform
• Weighted Norm Inequalities for the Opdam--Cherednik Transform
• Qualitative uncertainty principles for the windowed Opdam--Cherednik transform on weighted modulation spaces
• The heat semigroup associated with the Jacobi--Cherednik operator and its applications