3 problems

Pseudo-trace expansion conjecture. The expansion should be equally valid for continuous and discrete spectra. The preceding analysis establishes the expected expansion in both odd…

Let $M$ be a closed Riemannian manifold, let $\operatorname{\Delta}$ be a non-negative generalized Laplacian on $M$, and let $h_t$ denote the heat kernel of…

Let $(M,\mathcal{F})$ be a Riemannian foliation, let $L$ be the generalized basic Laplacian, and suppose the heat operators $e^{-tL^{+}}$ and $e^{-tL^{-}}$ have asymptotic expansio…