Normalizations of Eisenstein integrals for reductive symmetric spaces
Representation Theory
2017-01-12 v3
Abstract
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 include those from the \sigma-minimal principal series. In addition, we obtain related Eisenstein integrals, but with different normalizations. Specialized to the case of the group, this wider class includes Harish-Chandra's minimal Eisenstein integrals.
Keywords
Cite
@article{arxiv.1409.5411,
title = {Normalizations of Eisenstein integrals for reductive symmetric spaces},
author = {Erik P. van den Ban and Job J. Kuit},
journal= {arXiv preprint arXiv:1409.5411},
year = {2017}
}
Comments
66 pages. Minor revisions. To be published in Journal of Functional Analysis