AI 中文总结
本文证明一类仿射Ψ丛的Plancherel公式，构造对应傅里叶变换与渐近Schwartz空间，在适当假设下证明泊松求和公式，其研究动机源于三重乘积L-函数的应用。
AI 中文摘要
我们证明了一类仿射Ψ丛的Plancherel公式，作为应用，为该类构造了傅里叶变换与渐近Schwartz空间；在适当假设下证明了对应的泊松求和公式，所考虑的仿射Ψ丛的选择源于作者与Leslie的另一篇论文中对三重乘积L-函数的应用研究。
英文摘要
We prove a Plancherel formula for a family of affine $Ψ$-bundles. As an application, we construct Fourier transforms and asymptotic Schwartz spaces for the family. We then prove the corresponding Poisson summation formula under suitable assumptions. The choice of affine $Ψ$-bundles we consider is motivated by applications to triple product $L$-functions explored in another paper of the authors and Leslie.
CommentsFixed an author's name
