Abstract
On a compact manifold, the wave trace is defined to be the distributional trace of the wave operator, \(U(t):= e^{it\sqrt{\Delta }}\). This is easily seen to be a spectral invariant, because it can be written explicitly as
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Borthwick, D. (2016). Wave Trace and Poisson Formula. In: Spectral Theory of Infinite-Area Hyperbolic Surfaces. Progress in Mathematics, vol 318. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-33877-4_11
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DOI: https://doi.org/10.1007/978-3-319-33877-4_11
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