Hilgert J, Neeb KH (2001)
Publication Type: Journal article, Original article
Publication year: 2001
Publisher: Springer Verlag (Germany)
Book Volume: 11
Pages Range: 43-75
Journal Issue: 1
DOI: 10.1007/BF02921953
Let V be a Euclidean Jordan algebra, Гthe associated symmetric cone and G be the identity component of the linear automorphism group of Г.In this paper we associate to a certain class of spherical representations (ρ, ɛ) of G certain ɛ-valued Riesz distributions generalizing the classical scalar valued Riesz distributions on V. Our construction is motivated by the analytic theory of unitary highest weight representations where it permits to study certain holomorphic families of operator valued Riesz distributions whose positive definiteness corresponds to the unitarity of a representation of the automorphism group of the associated tube domain Г +iV.
APA:
Hilgert, J., & Neeb, K.H. (2001). Vector valued Riesz distributions on Euclidian Jordan algebras. Journal of Geometric Analysis, 11(1), 43-75. https://dx.doi.org/10.1007/BF02921953
MLA:
Hilgert, Joachim, and Karl Hermann Neeb. "Vector valued Riesz distributions on Euclidian Jordan algebras." Journal of Geometric Analysis 11.1 (2001): 43-75.
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