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Boundary Integral Formula for Harmonic Functions on Riemann Surfaces
Computational Methods and Function Theory ( IF 0.6 ) Pub Date : 2020-02-25 , DOI: 10.1007/s40315-020-00308-x
Peter L. Polyakov

We construct a boundary integral formula for harmonic functions on smoothly-bordered subdomains of Riemann surfaces embeddable into \({\mathbb {C}}{\mathbb {P}}^2\). The formula may be considered as an analogue of the Green’s formula for domains in \({\mathbb {C}}\).

中文翻译:

黎曼曲面上调和函数的边界积分公式

我们在可嵌入\({\ mathbb {C}} {\ mathbb {P}} ^ 2 \)的Riemann曲面的光滑边界子域上构造谐波函数的边界积分公式。对于\({\ mathbb {C}} \)中的域,可以将该公式视为格林公式的类似形式。
更新日期:2020-02-25
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