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The Logarithmic Laplacian on Complete Riemannian Manifolds
We introduce, for the first time, a Bochner representation of the logarithmic Laplacian on general complete Riemannian manifolds via spectral calculus and the heat semigroup. More precisely, letting $P_0=E(\{0\})$ denote the orthogonal projection onto $\ker(-Δ)$ and $Q=I-P_0$, and defining the logar
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