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arXiv · 0806.1042

Linear Representations and Isospectrality with Boundary Conditions

Ori Parzanchevski·Ram Band
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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 is a special case of the one presented.

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BibTeXRIS

Ori Parzanchevski, Ram Band. 2008-06-05. Linear Representations and Isospectrality with Boundary Conditions. https://doi.org/10.1007/s12220-009-9115-6

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