8 citations · 12 across the 8 of their papers we have counts for
11 papers
Images of elliptic operators on Hilbert bundles on compact manifolds are closed
Svatopluk Krýsl
We prove that the image of an elliptic operator on a smooth separable Hilbert fibre bundle on compact manifolds is closed with respect to the natural pre-Hilbert topology. We consi…
Separation and symmetry on two dimensional manifolds
Štěpán Hudeček, Svatopluk Krýsl
We introduce notions of a separated solution and of a simple symmetry that generates a differential operator on a smooth manifold. We prove that a differential operator on a two di…
Symplectic spinors and Hodge theory
Svatopluk Krýsl
Results on symplectic spinors and their higher spin versions, concerning representation theory and cohomology properties are presented. Exterior forms with values in the symplectic…
Hodge decomposition for elliptic complexes over unital -algebras
Svatopluk Krýsl
For a certain class of complexes of pre-Hilbert -modules, we prove that their cohomology groups equipped with a canonical quotient structure are again pre-Hilbert -modules an…
Cohomology of the de Rham complex twisted by the oscillatory representation
Svatopluk Krýsl
We introduce a Hilbert -module structure on the higher oscillatory module, where denotes the -algebra of bounded endomorphisms of the basic oscillatory module. We also…
Howe type duality for the metaplectic group acting on symplectic spinor valued forms
Svatopluk Krýsl
Let denote the oscillatory module over the complex symplectic Lie algebra Consider the -module…