Linear Representations and Isospectrality with Boundary Conditions

O Parzanchevski, R Band

Research output: Contribution to journalArticle (Academic Journal)peer-review

28 Citations (Scopus)

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 contributionLinear Representations and Isospectrality with Boundary Conditions
Original languageEnglish
Pages (from-to)439 - 471
Number of pages33
JournalJournal of Geometric Analysis
Volume20, no 2
DOIs
Publication statusPublished - Apr 2010

Bibliographical note

Publisher: Springer

Fingerprint Dive into the research topics of 'Linear Representations and Isospectrality with Boundary Conditions'. Together they form a unique fingerprint.

Cite this