When is a Riesz distribution a complex measure?
Classical Analysis and ODEs
2021-01-01 v2 Representation Theory
Statistics Theory
Statistics Theory
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).
Cite
@article{arxiv.0906.3027,
title = {When is a Riesz distribution a complex measure?},
author = {Alan D. Sokal},
journal= {arXiv preprint arXiv:0906.3027},
year = {2021}
}
Comments
LaTeX2e, 15 pages. Version 2 contains some small changes suggested by a referee