Spectral determination of analytic bi-axisymmetric plane domains

Steve Zelditch*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

56 Scopus citations


Let DL denote the class of bounded, simply connected real analytic plane domains with reflection symmetries across two orthogonal axes, of which one has length L. Under generic conditions, we prove that if Ω1, Ω2 ∈ DL and if the Dirichlet spectra coincide, Spec(Ω1) = Spec(Ω2), then Ω1 = Ω2 up to rigid motion.

Original languageEnglish (US)
Pages (from-to)628-677
Number of pages50
JournalGeometric and Functional Analysis
Issue number3
StatePublished - 2000

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology


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