Uniqueness of Rankin-Selberg periods
Representation Theory
2013-11-22 v1
Abstract
Let be a local field of characteristic zero. Rankin-Selberg's local zeta integrals produce linear functionals on generic irreducible admissible smooth representations of , with certain invariance properties. We show that up to scalar multiplication, these linear functionals are determined by the invariance properties.
Keywords
Cite
@article{arxiv.1311.5321,
title = {Uniqueness of Rankin-Selberg periods},
author = {Fulin Chen and Binyong Sun},
journal= {arXiv preprint arXiv:1311.5321},
year = {2013}
}