We present a regularization procedure of period integrals of automorphic forms on a group $G$ over an arbitrary reductive subgroup $G' \subset G$. As a consequence we obtain an explicit $G'(\mathbb{A})$-invariant functional on the space of automorphic forms on $G$ whose exponents avoid certain prescribed hyperplanes. We also exhibit a sufficient condition for convergence of period integrals.
On Extension of Ginzburg-Jiang-Soudry Correspondence to Certain Automorphic Forms on $Sp_{4mn}(\BA)$ and $\wt{Sp}_{4mn \pm 2n}(\BA)$
Weights, raising and lowering operators, and K-types for automorphic forms on SL(3,R)
On Whittaker--Fourier coefficients of automorphic forms on unitary groups: reduction to a local identity
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