$C^{\infty} $ spectral rigidity of the ellipse
Spectral Theory
2013-01-15 v3
Abstract
We prove that ellipses are infinitesimally spectrally rigid among domains with the symmetries of the ellipse.
Cite
@article{arxiv.1007.1741,
title = {$C^{\infty} $ spectral rigidity of the ellipse},
author = {Hamid Hezari and Steve Zelditch},
journal= {arXiv preprint arXiv:1007.1741},
year = {2013}
}
Comments
This is a major revision which gives full details on the Hadamard variation of the wave trace on a domain with boundary