The Regularized Siegel-Weil Formula (The Second Term Identity) and the Rallis Inner Product Formula
Number Theory
2014-01-22 v3 Representation Theory
Abstract
In this paper, we establish the second term identity of the Siegel-Weil formula in full generality, and derive the Rallis inner product formula for global theta lifts for any dual pair. As a corollary, we resolve the non-vanishing problem of global theta lifts initiated by Steve Rallis.
Keywords
Cite
@article{arxiv.1207.4709,
title = {The Regularized Siegel-Weil Formula (The Second Term Identity) and the Rallis Inner Product Formula},
author = {Wee Teck Gan and Yannan Qiu and Shuichiro Takeda},
journal= {arXiv preprint arXiv:1207.4709},
year = {2014}
}