A Fourier integral formula for logarithmic energy
Classical Analysis and ODEs
2022-11-09 v2
Abstract
A formula which expresses logarithmic energy of Borel measures on R^n in terms of the Fourier transforms of the measures is established and some applications are given. In addition, using similar techniques a (known) formula for Riesz energy is reinvented.
Cite
@article{arxiv.2209.05439,
title = {A Fourier integral formula for logarithmic energy},
author = {Leonhard Frerick and Jürgen Müller and Tobias Thomaser},
journal= {arXiv preprint arXiv:2209.05439},
year = {2022}
}
Comments
14 pages