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Title: Extension of CR-functions on wedges.
Author's Homepage:
Keywords: Pure & Applied Mathematics
Issue Date: 2003
Publisher: Springer
Citation: Zaitsev, Dmitri; Zampieri, Giuseppe 'Extension of CR-functions on wedges' in Mathematische Annalen, 326, (4), 2003, pp 691 - 703
Series/Report no.: Mathematische Annalen
Abstract: 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)
Description: PUBLISHED
Appears in Collections:Pure & Applied Mathematics (Scholarly Publications)

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