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Hartogs Type Theorems for CR L^{2} functions on Coverings of Strongly Pseudoconvex Manifolds

Alexander Brudnyi
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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 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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Alexander Brudnyi. 2006-10-29. Hartogs Type Theorems for CR L^{2} functions on Coverings of Strongly Pseudoconvex Manifolds. https://arxiv.org/abs/math/0512185

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