When is a riesz distribution a complex measure?

Alan D. Sokal

    Research output: Contribution to journalArticle

    Abstract

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

    Original languageEnglish (US)
    Pages (from-to)519-534
    Number of pages16
    JournalBulletin de la Societe Mathematique de France
    Volume139
    Issue number4
    DOIs
    StatePublished - 2011

    Keywords

    • Gindikin's theorem
    • Jordan algebra
    • Laplace transform
    • Positive measure
    • Radon measure
    • Relatively invariant measure
    • Riesz distribution
    • Symmetric cone
    • Tempered distribution
    • Wallach set

    ASJC Scopus subject areas

    • Mathematics(all)

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