Zaitsev, Dmitri; Zampieri, Giuseppe 'Extension of CR-functions on wedges' in Mathematische Annalen, 326, (4), 2003, pp 691 - 703
Mathematische Annalen 326 4
The celebrated Boggess-Polking theorem [BP82] extending classical results of Lewy [L56]
states that all (continuous) CR-functions on a generic submanifold M in CN extend holomorphically
to a wedge in the direction of the convex cone spanned by the values of the (vector-valued)
Levi form of M. Here one starts with a submanifold M and ends with a wedge. A natural question
is to obtain a result generalizing the above one within the category of wedges with description
of the additional directions of extendibility (see Tumanov [T95a, T95b] for general extension
results to wedges without prescription of the direction)
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