21 citations · 132 across the 37 of their papers we have counts for
4 papers · 1 filter
Asymptotic Expansions and Conformal Covariance of the Mass of Conformal Differential Operators
Matthias Ludewig
We give an explicit description of the full asymptotic expansion of the Schwartz kernel of the complex powers of -Laplace type operators on compact Riemannian manifolds in t…
Heat Kernel Asymptotics, Path Integrals and Infinite-Dimensional Determinants
Matthias Ludewig
We investigate the short-time expansion of the heat kernel of a Laplace type operator on a compact Riemannian manifold and show that the lowest order term of this expansion is give…
Strong Short Time Asymptotics and Convolution Approximation of the Heat Kernel
Matthias Ludewig
We give a short proof of a strong version of the short time asymptotic expansion of heat kernels associated to Laplace type operators acting on sections of vector bundles over comp…
Path Integrals on Manifolds with Boundary
Matthias Ludewig
We give time-slicing path integral formulas for solutions to the heat equation corresponding to a self-adjoint Laplace type operator acting on sections of a vector bundle over a co…