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arxiv: 1205.3055 · v2 · pith:4LMBU4CEnew · submitted 2012-05-14 · 🧮 math.CV

High-order Green Operators on the Disk and the Polydisc

classification 🧮 math.CV
keywords high-orderdiskgreenoperatorsexplicitexpressionspolydiscapplications
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In this paper, we give the explicit expressions of high-order Green operators on the disk and the polydisc, and hence the kernel functions of high-order Green operators are also presented. As applications, we present the explicit integral expressions of all the solutions for linear high-order partial differential equations in the disk.

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