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7 papers · 2 filters
Resonances for the Laplacian: the cases and (except with odd)
J. Hilgert, A. Pasquale, T. Przebinda
Let be a Riemannian symmetric space of the noncompact type and restricted root system or (except with odd). The analysis of the meromorphic…
Domains of holomorphy for irreducible admissible uniformly bounded representations of simple Lie groups
Gang Liu, Aprameyan Parthasarathy
In this note, we address a question raised by Krötz on the classification of domains of holomorphy of irreducible admissible Banach representations for connected non-compact simple…
On the analogy between real reductive groups and Cartan motion groups. I: The Mackey-Higson bijection
Alexandre Afgoustidis
George Mackey suggested in 1975 that there should be analogies between the irreducible unitary representations of a noncompact reductive Lie group and those of its Cartan motio…
Twisted Whittaker models for metaplectic groups
Sergey Lysenko
Let G be a reductive group (over an algebraically closed field) equipped with the metaplectic data. In this paper we study the corresponding twisted Whittaker category for G. We co…
Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces
J. Hilgert, A. Pasquale, T. Przebinda
Let be a direct product of two rank-one Riemannian symmetric spaces of the noncompact type. We show that when at least one of the two spaces is isomorphic to a r…
Singular conformally invariant trilinear forms, II The higher multiplicity cases
Jean-Louis Clerc
Let be the sphere of dimension . Let be the scalar principle series of representations of the conformal group , realized on $\…