The regularized Siegel–Weil formula (the second term identity) and the Rallis inner product formula

By W. Gan, Yannan Qiu, Shuichiro Takeda. 2012

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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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/526d1f311288a1ea25949deb46de616e788cbda2