Uncertainty principles associated with the linear canonical Dunkl transform

2025/07/01 by S, Umamaheswari, Verma, Sandeep Kumar
#44A20 #47A30 #81S07 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2507.00530

Abstract

In this paper, we establish analogs of Miyachi, Cowling-Price, and Heisenberg-Pauli-Weyl uncertainty principles in the framework of the linear canonical Dunkl transform. We also obtain some weighted inequalities, such as Nash, Clarkson, Donoho-Stark, and Matolcsi-Szucs type inequalities.

Citations

• Cowling-Price theorem and characterization of heat kernel on symmetric spaces
• A positive radial product formula for the Dunkl kernel
• Lens-System Diffraction Integral Written in Terms of Matrix Optics*
• Interpolation of linear operators

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