Answer by Sam Nead for Why is the length spectrum called a spectrum?
I do not know of such an operator. But there is the following lovely theorem of Huber:Theorem: Two compact hyperbolic surfaces have the same spectrum of the Laplacian if and only if they have the same...
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Given a hyperbolic surface $X$, one considers the multiset of lengths of closed primitive geodesics. This multiset is called the length spectrum$\mathcal{L}(X)$.Question: is $\mathcal{L}(X)$ a spectrum...
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