The regularized Siegel–Weil formula (the second term identity) and the Rallis inner product formula
WT Gan, Y Qiu, S Takeda�- Inventiones mathematicae, 2014 - Springer
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.
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.
On the regularized Siegel-Weil formula
A Ichino - 2001 - degruyter.com
A residue of a Siegel Eisenstein series is expressed as an integral of a certain theta function.
This identity is a re� nement of the regularized Siegel-Weil formula given by SS Kudla and
S. Rallis. The proof is carried out by comparing the Fourier coefficients of maximal rank of
the both sides.
This identity is a re� nement of the regularized Siegel-Weil formula given by SS Kudla and
S. Rallis. The proof is carried out by comparing the Fourier coefficients of maximal rank of
the both sides.