English

Uncertainty principles associated with the linear canonical Dunkl transform

Classical Analysis and ODEs 2025-07-02 v1 Functional Analysis

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.

Keywords

Cite

@article{arxiv.2507.00530,
  title  = {Uncertainty principles associated with the linear canonical Dunkl transform},
  author = {Umamaheswari S and Sandeep Kumar Verma},
  journal= {arXiv preprint arXiv:2507.00530},
  year   = {2025}
}

Comments

25 pages

R2 v1 2026-07-01T03:41:07.224Z