The Regularized Siegel-Weil Formula (The Second Term Identity) and the Rallis Inner Product Formula

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.

References in corpus (1)

• Degenerate principal series of metaplectic groups and Howe correspondence

Cited by in corpus (2)

• A weak second term identity of the regularized Siegel-Weil formula for unitary groups
• The Theta Correspondence, Periods of Automorphic Forms and Special Values of Standard Automorphic L-Functions