Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/99099
Title: Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains
Authors: Khoi, Le Hai.
Ishimura, Ryuichi.
Abanin, Alexander V.
Keywords: DRNTU::Science::Mathematics
Issue Date: 2011
Source: Abanin, A. V., Ishimura, R., & Khoi, L. H. (2012). Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains. Bulletin des sciences mathématiques, 136(1), 96-110.
Series/Report no.: Bulletin des sciences mathématiques
Abstract: In this paper we consider a problem of extension of solutions to homogeneous convolution equations defined by operators acting from a space A−∞(D+K)A−∞(D+K) of holomorphic functions with polynomial growth near the boundary of D+KD+K into another space of such a type A−∞(D)A−∞(D) (D and K being a bounded convex domain and a convex compact set in CC, respectively). We show that under some exact conditions each such solution can be extended as A−∞(Ω+K)A−∞(Ω+K)-solution, where Ω⊃DΩ⊃D is a certain convex domain.
URI: https://hdl.handle.net/10356/99099
http://hdl.handle.net/10220/12746
ISSN: 0007-4497
DOI: http://dx.doi.org/10.1016/j.bulsci.2011.06.002
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:SPMS Journal Articles

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