Analytic families of eigenfunctions on a reductive symmetric space
Representation Theory
2007-05-23 v1
Abstract
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 component of a parabolic subgroup. The main result asserts that the family vanishes if a particular asymptotic coefficient does. This allows an induction of relations between families that will be applied in forthcoming work on the Plancherel and the Paley-Wiener theorem.
Keywords
Cite
@article{arxiv.math/0104050,
title = {Analytic families of eigenfunctions on a reductive symmetric space},
author = {E. P. van den Ban and H. Schlichtkrull},
journal= {arXiv preprint arXiv:math/0104050},
year = {2007}
}
Comments
115 pages, LaTeX