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

arxiv: 1007.1741 · v3 · pith:MZUPPUDJnew · submitted 2010-07-10 · 🧮 math.SP

C^(infty) spectral rigidity of the ellipse

Hamid Hezari , Steve Zelditch This is my paper

classification 🧮 math.SP

keywords ellipseinftydomainsellipsesinfinitesimallyproverigidrigidity

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

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