带边界条件的线性表示与等谱性
Linear Representations and Isospectrality with Boundary Conditions
摘要：
我们提出了一种方法来构造家庭的等谱系统，使用线性表示的有限群。我们专注于量子图，我们给一个完整的治疗。然而，所提出的方法可以应用于其他系统，如歧管和二维鼓。通过再现一些已知的等谱鼓，证明了这一点，并获得了新的例子。特别是，Sunada的方法是一个特殊的情况下提出的。
英文摘要：
We present a method for constructing families of isospectral systems, using linear representations of finite groups. We focus on quantum graphs, for which we give a complete treatment. However, the method presented can be applied to other systems such as manifolds and two-dimensional drums. This is demonstrated by reproducing some known isospectral drums, and new examples are obtained as well. In particular, Sunada's method is a special case of the one presented.
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。
