4 citations · 13 across the 8 of their papers we have counts for
8 papers
Bergman spaces of natural G-manifolds
Giuseppe Della Sala, Joe J. Perez
Let G be a unimodular Lie group, X a compact manifold with boundary, and M the total space of a principal bundle G--> M-->X so that M is also a strongly pseudoconvex complex manifo…
Essential self-adjointness, generalized eigenforms, and spectra for the -Neumann problem on -manifolds
Joe J. Perez, Peter Stollmann
Let be a strongly pseudoconvex complex manifold which is also the total space of a principal -bundle with a Lie group and compact orbit space . Here we investi…
Generalized Fredholm properties for invariant pseudodifferential operators
Joe J. Perez
We define classes of pseudodifferential operators on -bundles with compact base and give a generalized Fredholm theory for invariant operators in these classes in terms of…
Unitary representations of unimodular Lie groups in Bergman spaces
Giuseppe Della Sala, Joe J. Perez
For an arbitrary unimodular Lie group , we construct strongly continuous unitary representations in the Bergman space of a naturally constructed strongly pseudoconvex neighborho…
A transversal Fredholm property for the -Neumann problem on -bundles
Joe J. Perez
Let be a strongly pseudoconvex complex -manifold with compact quotient . We provide a simple condition on forms sufficient for the regular solvability of the equati…
Subelliptic boundary value problems and The -Fredholm Property
Joe J. Perez
Let be a unimodular Lie group, a compact manifold with boundary, and be the total space of a principal bundle so that is also a complex manifold satis…