# $C^{\infty} $ spectral rigidity of the ellipse

@article{Hezari2010CinftyS, title={\$C^\{\infty\} \$ spectral rigidity of the ellipse}, author={Hamid Hezari and Steve Zelditch}, journal={arXiv: Spectral Theory}, year={2010} }

We prove that ellipses are infinitesimally spectrally rigid among $C^{\infty}$ domains with the symmetries of the ellipse.

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