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arXiv · 1205.6025

A weak second term identity of the regularized Siegel-Weil formula for unitary groups

Wei Xiong
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Abstract

Following W.T.Gan and S.Takeda, we obtain a weak second term identity of the regularized Siegel-Weil formula for the unitary dual pair $(U(n,n),U(V))$, where $V$ is a split hermitian space of dimension $2r$ with $r+1 \leq n \leq 2r-1$. As an application, we obtain a Rallis inner product formula for theta lifts from $U(W)$ to $U(V)$ for a skew-hermitian space $W$ of dimension $n$.

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Wei Xiong. 2013-03-25. A weak second term identity of the regularized Siegel-Weil formula for unitary groups. https://arxiv.org/abs/1205.6025

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