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When is a Riesz distribution a complex measure?

16 June 2009
A. Sokal
    CoGe
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Abstract

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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