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LSpice
LSpice
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I do not know of such an operator. But there is the following lovely theorem of HuberHuber:

Theorem: Two compact hyperbolic surfaces have the same spectrum of the Laplacian if and only if they have the same (a) area and (b) length spectrum.

For example, here are Burrin's lecture noteslecture notes from a class at ETH -— see Section 6.2.

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 (a) area and (b) length spectrum.

For here are Burrin's lecture notes from a class at ETH - see Section 6.2.

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 (a) area and (b) length spectrum.

For example, here are Burrin's lecture notes from a class at ETH — see Section 6.2.

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Sam Nead
Sam Nead
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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 (a) area and (b) length spectrum.

For here are Burrin's lecture notes from a class at ETH - see Section 6.2.