4 papers · 1 filter
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…
Analytic families of eigenfunctions on a reductive symmetric space
E. P. van den Ban, H. Schlichtkrull
The asymptotic behavior of holomorphic families of generalized eigenfunctions on a reductive symmetric space is studied. The family parameter is a complex character on the split co…