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arXiv · 2511.09281

New criteria on positive-definite distributions

J. Haddad
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Abstract

We establish several sufficient conditions under which a locally integrable function $f:\mathbb R^n \to \mathbb R$ represents a positive-definite distribution. In particular we consider functions of the form $f(\|x\|)$ where $\|\cdot\|$ is a fixed norm in $\mathbb R^n$.

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J. Haddad. 2025-11-12. New criteria on positive-definite distributions. https://arxiv.org/abs/2511.09281

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