平面混合自守函数的提升定理及其应用
A lifting theorem for planar mixed automorphic functions and applications
摘要：
本文研究了一维$L^2$ -混合自守函数上不变磁薛定谔算子关于给定等变对$ (ρ,τ) $和半直群$U(1)\ltimes\mathbb{C}$的离散子群的具体谱分析.这将通过与特定伪特征相关的经典自守函数的提升定理来实现。我们还提供了一个部分特征的等变对相对于我们的设置，并讨论可能的推广到更高的维度。
英文摘要：
We deal with the concrete spectral analysis of an invariant magnetic Schrödinger operator acting on one dimensional $L^2$-mixed automorphic functions with respect to given equivariant pair $ (ρ,τ) $ and given discrete subgroup of the semi-direct group $U(1)\ltimes\mathbb{C}$. This will be carried out by means of a lifting theorem to the classical automorphic functions associated with specific pseudo-character. We also provided a partial characterization of the equivariant pairs relative to our setting and discuss possible generalization to higher dimensions.
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。
