A general form of Heisenberg–Pauli–Weyl uncertainty inequality for the Dunkl transform

Abstract

In this paper, we give a generalization of the Heisenberg–Pauli–Weyl uncertainty inequality for the Dunkl transform on ℝ ^d .

Keywords:

• Dunkl transform
• Heisenberg–Pauli–Weyl uncertainty principle

2000 Mathematics Subject Classification::

• 42B10
• 42B30
• 33C45

Acknowledgements

The author expresses his deep thanks to the referees for their careful reading and their editing of the manuscript. The author is partially supported by DGRST project 04/UR/15-02 and CMCU program 10G 1503. \reversemarginpar