The Penrose transform for Sp(n,R) and singular unitary representations

The Penrose transform for compactly supported cohomology

Let the manifold X parametrise a family of compact complex submanifolds of the complex (or CR) manifold Z. Under mild conditions the Penrose transform typically provides isomorphisms between a cohomology group of a holomorphic vector bundle V → Z and the kernel of a differential operator between sections of vector bundles over X. When the spaces in question are homogeneous for a group G the Pen...

New representations for the Moore-Penrose inverse

The Penrose Transform for Complex Projective Space

Various complexes of differential operators are constructed on complex projective space via the Penrose transform, which also computes their cohomology.

the search for the self in becketts theatre: waiting for godot and endgame

this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...

The Moment Mapping for Unitary Representations

For any unitary representation of an arbitrary Lie group I construct a moment mapping from the space of smooth vectors of the representation into the dual of the Lie algebra. This moment mapping is equivariant and smooth. For the space of analytic vectors the same construction is possible and leads to a real analytic moment mapping.