| ชื่อเรื่อง | : | Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains. |
| นักวิจัย | : | Abanin, Alexander V. , Ishimura, Ryuichi. , Khoi, Le Hai. |
| คำค้น | : | DRNTU::Science::Mathematics. |
| หน่วยงาน | : | Nanyang Technological University, Singapore |
| ผู้ร่วมงาน | : | - |
| ปีพิมพ์ | : | 2554 |
| อ้างอิง | : | 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. , 0007-4497 , http://hdl.handle.net/10220/12746 , http://dx.doi.org/10.1016/j.bulsci.2011.06.002 |
| ที่มา | : | - |
| ความเชี่ยวชาญ | : | - |
| ความสัมพันธ์ | : | Bulletin des sciences mathématiques |
| ขอบเขตของเนื้อหา | : | - |
| บทคัดย่อ/คำอธิบาย | : | 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. |
| บรรณานุกรม | : |
Abanin, Alexander V. , Ishimura, Ryuichi. , Khoi, Le Hai. . (2554). Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains..
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Abanin, Alexander V. , Ishimura, Ryuichi. , Khoi, Le Hai. . 2554. "Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains.".
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Abanin, Alexander V. , Ishimura, Ryuichi. , Khoi, Le Hai. . "Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains.."
กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2554. Print. Abanin, Alexander V. , Ishimura, Ryuichi. , Khoi, Le Hai. . Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains.. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2554.
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