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：

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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。