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On a criterion for a cutoff regularization in the coordinate representation

2024/03/14 by A. V. Ivanov, Ivanov, A. V. · 1 citation
Mathematics · #Statistical and numerical algorithms

paper · pdf · doi:10.48550/arxiv.2403.09218

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.

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