Heisenberg-Pauli-Weyl uncertainty principles for the fractional Dunkl transform on the real line
Year: 2025
Type: preprint
Abstract: The aim of the paper is two-fold. First, we provide an explicit form of the functions for which equality holds for the uncertainty inequalities studied in \cite{Fei}. Second, we establish an $L^p$-type Heisenberg-Pauli-Weyl uncertainty principle for the fractional Dunkl transform, with $1 \leq p \leq 2$. For the case $p = 2$, we further derive a sharper uncertainty principle for the fractional Dunkl transform. Furthermore, we derive conditions leading to equality in both the uncertainty principles obtained.
Source: arXiv (Cornell University)
Authors: Ghosh, Sunit, Bhat, Younis Ahmad, Swain, Jitendriya
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979294483
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