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Non compact boundaries of complex analytic varieties in Hilbert spaces. (English) Zbl 1320.32041
Summary: We treat the boundary problem for complex varieties with isolated singularities, of complex dimension greater than or equal to 3, non necessarily compact, which are contained in strongly convex, open subsets of a complex Hilbert space $$H$$. We deal with the problem by cutting with a family of complex hyperplanes and applying the already known result for the compact case.

##### MSC:
 32V15 CR manifolds as boundaries of domains 58B12 Questions of holomorphy and infinite-dimensional manifolds
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