Spectral determination of analytic bi-axisymmetric plane domains

Steve Zelditch*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Let D denote the class of bounded simply connected real analytic plane domains with the symmetry of an ellipse. We announce a proof that under generic assumptions, if Ω1, Ω2 ∈ D and if the Dirichlet spectra coincide, Spec(Ω1) = Spec(Ω2), then Ω1 = Ω2 up to rigid motion.

Original languageEnglish (US)
Pages (from-to)457-464
Number of pages8
JournalMathematical Research Letters
Issue number3-4
StatePublished - 1999

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'Spectral determination of analytic bi-axisymmetric plane domains'. Together they form a unique fingerprint.

Cite this