超尖点形式空间的一个生成集
A Spanning Set for the space of Super Cusp forms
摘要：
本文的目的是构造关于格的秩为1的复有界对称超域B上的超尖点形式空间的生成集。主要成分是一个推广的Anosov封闭引理的部分双曲型同构和无界实现B，特别是傅立叶分解的尖点映射到无穷远通过部分凯莱变换。生成集的元素与闭测地线有限一一对应，对应于测地线的元素数量随其长度线性增长。
英文摘要：
Aim of this article is the construction of a spanning set for the space of super cusp forms on a complex bounded symmetric super domain B of rank 1 with respect to a lattice. The main ingredients are a generalization of the Anosov closing lemma for partially hyperbolic diffeomorphisms and an unbounded realization of B, in particular Fourier decomposition at the cusps mapped to infinity via a partial Cayley transformation. The elements of the spanning set are in finite-to-one correspondence with closed geodesics, the number of elements corresponding to a geodesic growing linearly with its length.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
