A Logarithmic Uncertainty Principle for Functions with Radial Symmetry
Functional Analysis
2025-08-13 v2 Mathematical Physics
math.MP
Abstract
In this note, we prove a new uncertainty principle for functions with radial symmetry by differentiating a radial version of the Stein-Weiss inequality. The difficulty is to prove the differentiability in the limit of the best constant that, unlike the general case, it is not known.
Keywords
Cite
@article{arxiv.2307.06665,
title = {A Logarithmic Uncertainty Principle for Functions with Radial Symmetry},
author = {Jacopo Bellazzini and Matteo Nesi},
journal= {arXiv preprint arXiv:2307.06665},
year = {2025}
}
Comments
10 pages