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

Hamid Hezari; Steve Zelditch

doi:10.2140/apde.2012.5.1105

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Home > Journals > Anal. PDE > Volume 5 > Issue 5 > Article

2012 $C^{\infty} $ spectral rigidity of the ellipse

Hamid Hezari, Steve Zelditch

Anal. PDE 5(5): 1105-1132 (2012). DOI: 10.2140/apde.2012.5.1105

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Abstract

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

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Hamid Hezari. Steve Zelditch. "$C^{\infty} $ spectral rigidity of the ellipse." Anal. PDE 5 (5) 1105 - 1132, 2012. https://doi.org/10.2140/apde.2012.5.1105