This article demonstrates conditions for the Radon-Penrose transform to yield holomorphic sections in elliptic adjoint orbits, suggesting new insights into their geometric structure.
Every elliptic adjoint orbit X of a real reductive group carries naturally a complex manifold structure.This article proves a necessary and sufficient condition on X for which the (generalized) Radon-Penrose transform on Dolbeault cohomologies on X maps into the space of holomorphic sections.
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H. Sekiguchi (2023) studied this question.
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