Uncertainty principles for the Opdam–Cherednik transform on modulation spaces
Anirudha Poria
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.
Topics & Concepts
Mathematical proofModulation spaceMathematicsPseudodifferential operatorsType (biology)Pure mathematicsHeat kernelOperator (biology)Modulation (music)Kernel (algebra)Algebra over a fieldApplied mathematicsMathematical analysisPhysicsGeologyGeometryAcousticsBiochemistryPaleontologyChemistryRepressorTranscription factorGeneMathematical Analysis and Transform MethodsDigital Filter Design and ImplementationImage and Signal Denoising Methods