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math.RT2019
Branching laws for discrete series of some affine symmetric spaces
Bent Orsted, Birgit Speh
In this paper we study branching laws for certain unitary representations. This is done on the smooth vectors via a version of the {\it period integrals}, studied in number theory,…
math.RT2019
Branching problems in reproducing kernel spaces
Bent Orsted, Jorge A. Vargas
For a semisimple Lie group satisfying the equal rank condition, the most basic family of unitary irreducible representations is the discrete series found by Harish-Chandra. In…