When is a Riesz distribution a complex measure?

Details When is a Riesz distribution a complex measure? When is a Riesz distribution a complex measure?

2009-06-16

arxiv.org/abs/0906.3027v2

Bull. Soc. Math. France 139, 519-534 (2011)

Mathematics

Classical Analysis and ODEs

LaTeX2e, 15 pages. Version 2 contains some small changes suggested by a referee

Scientific paper

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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