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- W4300384037 abstract "Let $X=U/K$ be a compact Hermitian symmetric space, and let $sE$ be a $U$-homogeneous Hermitian vector bundle on $X$. In a previous paper, we showed that the space of nearly holomorphic sections is well-adapted for harmonic analysis in $L^2(X,sE)$ provided that non-trivial nearly holomorphic sections do exist. Here we investigate the problem of extending local nearly holomorphic sections to global ones and prove the existence of non-trivial nearly holomorphic sections. This extends the results on the $U$-type decomposition of $L^2(X,sE)$ from our previous paper." @default.
- W4300384037 created "2022-10-03" @default.
- W4300384037 creator A5032389905 @default.
- W4300384037 date "2013-03-11" @default.
- W4300384037 modified "2023-09-25" @default.
- W4300384037 title "Existence of nearly holomorphic sections on compact Hermitian symmetric spaces" @default.
- W4300384037 doi "https://doi.org/10.48550/arxiv.1303.2680" @default.
- W4300384037 hasPublicationYear "2013" @default.
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