Spectral determination of analytic bi-axisymmetric plane domains

Steve Zelditch*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

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
Volume6
Issue number3-4
DOIs
StatePublished - 1999

ASJC Scopus subject areas

  • Mathematics(all)

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