Resolvent kernel estimates near thresholds
Resolvent kernel estimates near thresholds
The paper deals with the spectral structure of the operator $ H=-\nabla\cdot b \nabla $ in $\mathbb R^n$ where $b$ is a stratified matrix-valued function. Using a partial Fourier transform, it is represented as a direct integral of a family of ordinary differential operators $H_p,\, p\in \mathbb{R}^n.$ Every operator $H_p$ …