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$\mathcal{C}^{\infty}$-hypoellipticity and extension of $CR$ function
CR-hypoelliptic CR-embedding holomorphic extension C∞ wave front set holomorphic wedge extension
2011/9/14
Abstract: Let $M$ be a $CR$ submanifold of a complex manifold $X$. The main result of this article is to show that $CR$-hypoellipticity at $p_0\in{M}$ is necessary and sufficient for holomorphic exten...
Global hypoellipticity of the Kohn-Laplacian $\Box_b$ on pseudoconvex CR manifolds
Global hypoellipticity Kohn-Laplacian $\Box_b$ pseudoconvex CR manifolds
2011/3/1
Let X be a complex manifold andM ⊂ X a compact, smooth, pseudoconvex CR manifold of dimension 2n − 1. (Here n ≥ 3 or, in case n = 2, it is made the extra assumption that ¯@b has close...