When is a Riesz distribution a complex measure?

Abstract

Let R_αbe the Riesz distribution on a simple Euclidean Jordan algebra, parametrized by the complex number α. I give an elementary proof of the necessary and sufficient condition for R_αto be a locally finite complex measure (= complex Radon measure).

arXiv commentLaTeX2e, 15 pages. Version 2 contains some small changes suggested by a referee

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