A Bochner integral formula defines the logarithmic Laplacian on complete Riemannian manifolds, with pointwise kernel formulas under Ricci lower bounds and sharp estimates on hyperbolic space.
L´evy processes and stochastic calculus
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Logarithmic Laplacian on General Riemannian Manifolds
A Bochner integral formula defines the logarithmic Laplacian on complete Riemannian manifolds, with pointwise kernel formulas under Ricci lower bounds and sharp estimates on hyperbolic space.