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math.RT2012★ 1 cited
Positive definite superfunctions and unitary representations of Lie supergroups
Karl-Hermann Neeb, Hadi Salmasian
For a broad class of Frechet-Lie supergroups we prove that there exists a correspondence between positive definite smooth superfunctions and matrix coefficients of unitary represen…
math.RT2012★ 3 cited
Differentiable vectors and unitary representations of Frechet-Lie supergroups
Hadi Salmasian, Karl-Hermann Neeb
For a locally convex Lie group with the Trotter property, we prove that the space of k-times differentiable vectors of a unitary representation is equal to the intersection of doma…