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math.DS2009
On the Integral Geometry of Liouville Billiard Tables
G. Popov, P. Topalov
The notion of a Radon transform is introduced for completely integrable billiard tables. In the case of Liouville billiard tables of dimension 3 we prove that the Radon transform i…
math.SP2009★ 2 cited
Invariants of isospectral deformations and spectral rigidity
G. Popov, P. Topalov
We introduce a notion of weak isospectrality for continuous deformations. Consider the Laplace-Beltrami operator on a compact Riemannian manifold with boundary with Robin boundary…