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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.03432 |
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Table of Contents:
- We prove that any holomorphic function $f$ on the Lie ball of even dimension satisfying $Δf=0$ is obtained uniquely by the higher-dimensional Penrose transform of a Dolbeault cohomology for a twisted line bundle of a certain domain of the Grassmannian of isotropic subspaces. To overcome the difficulties arising from that the line bundle parameter is outside the {\it{good range}}, we use some techniques from algebraic representation theory.