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math.RT2010
The complex crown for homogeneous harmonic spaces
Roberto Camporesi, Bernhard Krötz
A theory of holomorphic extension of eigenfunctions on homogeneous harmonic spaces is developed.
math.RT2010
Invariant measures on homogeneous spaces, with applications to function spaces and lattice counting
Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull
Let G be a real reductive group and G/H a unimodular homogeneous G space with a closed connected subgroup H. We establish estimates for the invariant measure on G/H. Using these, w…