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Hartogs Type Theorems for CR <i>L</i><sup>2</sup> Functions on Coverings of Strongly Pseudoconvex Manifolds

Hartogs Type Theorems for CR <i>L</i><sup>2</sup> Functions on Coverings of Strongly Pseudoconvex Manifolds

Abstract 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 question formulated in the paper of Gromov, Henkin and Shubin [GHS] on holomorphic L …