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Uniform temperedness of Whittaker integrals for a real reductive group
E. P. van den Ban
We study Whittaker vectors (and Jacquet integrals) in the generalized principal series for a real reductive group. A functional equation for them is obtained. This allows to establ…
Cusp forms for reductive symmetric spaces of split rank one
Erik P. van den Ban, Job J. Kuit
For reductive symmetric spaces G/H of split rank one we identify a class of minimal parabolic subgroups for which certain cuspidal integrals of Harish-Chandra - Schwartz functions…
Normalizations of Eisenstein integrals for reductive symmetric spaces
Erik P. van den Ban, Job J. Kuit
We construct minimal Eisenstein integrals for a reductive symmetric space G/H as matrix coefficients of the minimal principal series of G. The Eisenstein integrals thus obtained in…
The notion of cusp forms for a class of reductive symmetric spaces of split rank one
Erik P. van den Ban, Job J. Kuit, Henrik Schlichtkrull
We study a notion of cusp forms for the symmetric spaces G/H with G = SL(n,R) and H = S(GL(n-1,R) x GL(1,R)). We classify all minimal parabolic subgroups of G for which the associa…
Convexity theorems for semisimple symmetric spaces
Dana Balibanu, Erik van den Ban
We prove a remarkable generalization of a convexity theorem for semisimple symmetric spaces G/H established earlier in 1986 by the second named author. The latter result generalize…
A comparison of Paley-Wiener theorems for real reductive Lie groups
E. P. van den Ban, S. Souaifi
In this paper we make a detailed comparison between the Paley-Wiener theorems of J. Arthur and P. Delorme. We prove that these theorems are equivalent from an a priori point of vie…