TY - JOUR
T1 - Off-Diagonal Heat Kernel Asymptotics of Pseudodifferential Operators on Closed Manifolds and Subordinate Brownian Motion
AU - Fahrenwaldt, Matthias Albrecht
PY - 2017/3
Y1 - 2017/3
N2 - We derive the off-diagonal short-time asymptotics of the heat kernels of functions of generalised Laplacians on a closed manifold. As an intermediate step we give an explicit asymptotic series for the kernels of the complex powers of generalised Laplacians. Each asymptotic series is formulated in terms of the geodesic distance. The key application concerns upper bounds for the transition density of subordinate Brownian motion. The approach is highly explicit and tractable.
AB - We derive the off-diagonal short-time asymptotics of the heat kernels of functions of generalised Laplacians on a closed manifold. As an intermediate step we give an explicit asymptotic series for the kernels of the complex powers of generalised Laplacians. Each asymptotic series is formulated in terms of the geodesic distance. The key application concerns upper bounds for the transition density of subordinate Brownian motion. The approach is highly explicit and tractable.
UR - https://www.scopus.com/pages/publications/85011565187
U2 - 10.1007/s00020-017-2344-3
DO - 10.1007/s00020-017-2344-3
M3 - Article
SN - 0378-620X
VL - 87
SP - 327
EP - 347
JO - Integral Equations and Operator Theory
JF - Integral Equations and Operator Theory
IS - 3
ER -