A spectral gap for the Brownian bridge measure on hyperbolic spaces
Xuemei Chen, Xue-Mei Li, B. Wu · 2010
Let N be a finite or infinite dimensional manifold, µ a probability measure, d an differential operator with domain a subspace of the the L2 space of functions which restricted to differentiable functions is the usual differentiation operator. Let d ∗ be its L2 adjoint with respect to this measure. We ask whether the operator