Hartogs Type Theorems for CR L2 functions on Coverings of Strongly Pseudoconvex Manifolds
Alexander Brudnyi
Abstract
We prove an analog of the classical Hartogs extension theorem for CR L2 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 L2 functions on coverings of pseudoconvex manifolds.
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