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Please use this identifier to cite or link to this item: http://hdl.handle.net/2262/31979

Title: Extension of CR-functions on wedges.
Author: ZAITSEV, DMITRI
Author's Homepage: http://people.tcd.ie/zaitsevd
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
326
4
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
URI: http://dx.doi.org/10.1007/s00208-002-0403-8
http://hdl.handle.net/2262/31979
Appears in Collections:Pure & Applied Mathematics (Scholarly Publications)

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