Abstract
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 (Ann. Math. 121, 169–186, 1985) is a special case of the one presented.
| Translated title of the contribution | Linear Representations and Isospectrality with Boundary Conditions |
|---|---|
| Original language | English |
| Pages (from-to) | 439 - 471 |
| Number of pages | 33 |
| Journal | Journal of Geometric Analysis |
| Volume | 20, no 2 |
| DOIs | |
| Publication status | Published - Apr 2010 |