Essential self-adjointness, generalized eigenforms, and spectra for the $\bar{\partial }$-Neumann problem on $G$-manifolds

Joe J. Perez, Peter Stollmann

Let $M$ be a strongly pseudoconvex complex manifold which is also the total space of a principal $G$-bundle with $G$ a Lie group and compact orbit space $\bar{M}/G$. Here we investi…