Authors
Citation
S. Zelditch, Spectral determination of analytic bi-axisymmetric plane domains, GEO FUNCT A, 10(3), 2000, pp. 628-677
Citations number
26
Categorie Soggetti
Mathematics
Journal title
GEOMETRIC AND FUNCTIONAL ANALYSIS
ISSN journal
1016443X
→ ACNP
Volume
10
Issue
3
Year of publication
2000
Pages
628 - 677
Database
ISI
SICI code
1016-443X(2000)10:3<628:SDOABP>2.0.ZU;2-B
Abstract
Let D-L denote the class of bounded, simply connected real analytic plane d
omains with reflection symmetries across two orthogonal axes, of which one
has length L. Under generic conditions, we prove that if Ohm(1), Ohm(2) is
an element of D-L and if the Dirichlet, spectra coincide, Spec(Ohm(1)) = Sp
ec(Ohm(2)), then Ohm(1) = Ohm(2) up to rigid motion.