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math.RT2020★ 2 cited
A Paley-Wiener theorem for Harish-Chandra modules
Heiko Gimperlein, Bernhard Krötz, Job J. Kuit +1
We formulate and prove a Paley-Wiener theorem for Harish-Chandra modules for a real reductive group. As a corollary we obtain a new and elementary proof of the Helgason conjecture.
math.RT2020
Ellipticity and discrete series
Bernhard Krötz, Job J. Kuit, Eric M. Opdam +1
We explain by elementary means why the existence of a discrete series representation of a real reductive group implies the existence of a compact Cartan subgroup of . The pr…