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

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

2005-12-09

arxiv.org/abs/math/0512185v3

Mathematics

Complex Variables

16 pages, revised version

Scientific paper

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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