New criteria for positive-definite distributions
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 $\mathbb R^n$.
Fields of Study & Subjects
Advanced Banach Space Theory
Probability and Risk Models
Advanced Harmonic Analysis Research
Publication details
- Journal / source
- Revista de la Unión Matemática Argentina
- Pages
- 475–484
- Publication date
- 14 May 2026