Abstract
We show that if $f$ is a positive definite distribution which is analytic on some neighborhood of the origin, then $f$ is analytic everywhere in $\mathbb{R}^{n}$.
Citation
Chang Eon Shin. Soon-Yeong Chung. "Analyticity and quasianalyticity of positive definite distributions." J. Math. Kyoto Univ. 44 (4) 811 - 817, 2004. https://doi.org/10.1215/kjm/1250281700
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