On a criterion for a cutoff regularization in the coordinate representation
Mathematical Physics
2024-03-15 v1 High Energy Physics - Theory
math.MP
Abstract
The paper discusses an applicability criterion for a cutoff regularization in the coordinate representation in the Euclidean space with a dimension larger than two. It is shown that the set of functions satisfying the criterion is not empty. As an example, an explicit function is presented. It is proved by explicit construction that there are functions satisfying the criterion in a stronger formulation.
Cite
@article{arxiv.2403.09218,
title = {On a criterion for a cutoff regularization in the coordinate representation},
author = {A. V. Ivanov},
journal= {arXiv preprint arXiv:2403.09218},
year = {2024}
}
Comments
LaTeX, 8 pages, 1 figure. Firstly appeared in Russian, March 5, 2024. Compared to the Russian version, some comments and minor corrections have been added. The forgotten imaginary unit in the Fourier transform has also been restored. See https://www.pdmi.ras.ru/preprint/2024/24-04.html