arXiv Open Access 1999

Spectral determination of analytic axi-symmetric plane domains

Steve Zelditch

Lihat Sumber

Abstrak

Let ${\cal D}$ denote the class of bounded real analytic plane domains with the symmetry of an ellipse. We prove that if $Ω_1, Ω_2 \in {\cal D}$ and if the Dirichlet spectra coincide, $Spec(Ω_1) = Spec(Ω_2)$, then $Ω_1 = Ω_2$ up to rigid motion.

Topik & Kata Kunci

math.SP math.AP

Penulis (1)

Steve Zelditch

Format Sitasi

APA MLA BibTeX

Zelditch, S. (1999). Spectral determination of analytic axi-symmetric plane domains. https://arxiv.org/abs/math/9901005

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 1999
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓