When is a Riesz distribution a complex measure?

Alan D. Sokal
Arxiv ID: 0906.3027Last updated: 1/1/2021
Let R_\alpha be the Riesz distribution on a simple Euclidean Jordan algebra, parametrized by the complex number \alpha. I give an elementary proof of the necessary and sufficient condition for R_\alpha to be a locally finite complex measure (= complex Radon measure).

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