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When is a Riesz distribution a complex measure?

Alan D. Sokal (2011)

Bulletin de la Société Mathématique de France

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

White noise distribution theory and its application

Yoshihito Shimada (2007)

Banach Center Publications

The paper gives a new application of the white noise distribution theory via a proof of irreducibility of the energy representation of a group of C -maps from a compact Riemann manifold to a semi-simple compact Lie group.

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