4 problems

Let $(\Omega,h)$ be a quantum disc as defined in the cited work, and let $\mathbf{K}(t)$ denote the corresponding heat-content quantity. Quantum-disc heat-content conjecture. As…

Let $(M,g)$ be a compact smooth manifold without boundary. Let $u$ be a Laplacian eigenfunction with eigenvalue $\lambda$, and let $p_t(x)$ be globally defined with respect to its…

Let $M$ be a compact Riemannian manifold with smooth boundary $\partial M$, let $\delta$ denote the distance to the boundary, let $D$ be an operator of Laplace type with Dirichlet…

Let $M$ be a compact Riemannian manifold with smooth boundary $\partial M$, let $\delta$ denote the geodesic distance to the boundary, let $D$ be an operator of Laplace type with Dir…