36 citations · 76 across the 7 of their papers we have counts for
7 papers
Maass-Selberg relations for Whittaker functions on a real reductive group
Erik P. van den Ban
We give a complete proof of the Maass-Selberg relations for Whittaker integrals on a real reductive group. These relations were asserted In unpublished work of Harish-Chandra, and…
Polynomial estimates for c-functions on reductive symmetric spaces
Erik P. van den Ban, Henrik Schlichtkrull
The c-functions, related to a reductive symmetric space G/H and a fixed representation of a maximal compact subgroup K of G, are shown to satisfy polynomial bounds in imaginary dir…
A Paley-Wiener theorem for distributions on reductive symmetric spaces
E. P. van den Ban, H. Schlichtkrull
Let G/H be a reductive symmetric space and K a maximal compact subgroup of G. We study Fourier transforms of compactly supported K-finite distributions on G/H and characterize the…
Paley-Wiener spaces for real reductive Lie groups
E. P. van den Ban, H. Schlichtkrull
We show that Arthur's Paley-Wiener theorem for K-finite compactly supported smooth functions on a real reductive Lie group G of the Harish-Chandra class can be deduced from the Pal…
The Plancherel decomposition for a reductive symmetric space II. Representation theory
E. P. van den Ban, H. Schlichtkrull
We obtain the Plancherel decomposition for a reductive symmetric space in the sense of representation theory. Our starting point is the Plancherel formula for spherical Schwartz fu…
The Plancherel decomposition for a reductive symmetric space I. Spherical functions
E. P. van den Ban, H. Schlichtkrull
We prove the Plancherel formula for spherical Schwartz functions on a reductive symmetric space. Our starting point is an inversion formula for spherical smooth compactly supported…