Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains

• Main Authors: Khoi, Le Hai., Ishimura, Ryuichi., Abanin, Alexander V.
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2013
• 主題: DRNTU::Science::Mathematics
• 在線閱讀: https://hdl.handle.net/10356/99099; http://hdl.handle.net/10220/12746
• 機構: Nanyang Technological University

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 bou...