Holomorphic L2 Functions on Coverings of Pseudoconvex Manifolds

@inproceedings{Henkin1998HolomorphicLF,
  title={Holomorphic L2 Functions on Coverings of Pseudoconvex Manifolds},
  author={G. Henkin and Mikhail Shubin},
  year={1998}
}
1. Let M be a complex manifold with a smooth boundary which will be denoted bM , dim C M = n. Let us denote M = M ∪ bM and assume for simplicity that M ⊂ ˜ M where˜M is a complex neighbourhood of M , dim C ˜ M = n, so that every point z ∈ bM is an interior point of˜M. Let us take a C ∞-function ρ : ˜ M → R such that M = z | ρ(z) < 0 , bM = z | ρ(z) = 0 ; dρ(z) = 0 for all z ∈ bM. (0.1) For any z ∈ bM denote by T c z (bM) the complex tangent space to bM : the maximal complex subspace in the real… CONTINUE READING
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