Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591638 | Journal of Functional Analysis | 2008 | 52 Pages |
Abstract
Let G be the unitary group of a non-degenerate Hermitian space and H the stabilizer of a one-dimensional positive definite subspace of the Hermitian space. For a uniform lattice Γ in G such that Γ∩H is a uniform lattice of H, we introduce the (averaged) H-period integrals of automorphic forms on Γ\G; we study their behavior as Γ shrinks to the identity along a tower of lattices in G and prove a limit formula of the H-period integrals.
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