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arxiv: math/0512185 · v3 · submitted 2005-12-09 · 🧮 math.CV

Hartogs Type Theorems for CR L² functions on Coverings of Strongly Pseudoconvex Manifolds

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keywords coveringsfunctionsmanifoldspseudoconvexhartogsstronglyanalogboundaries
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We prove an analog of the classical Hartogs extension theorem for CR $L^{2}$ functions defined on boundaries of certain (possibly unbounded) domains on coverings of strongly pseudoconvex manifolds. Our result is related to a problem posed in the paper of Gromov, Henkin and Shubin [GHS] on holomorphic $L_{2}$ functions on coverings of pseudoconvex manifolds.

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