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Boundary Integral Formula for Harmonic Functions on Riemann Surfaces

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We construct a boundary integral formula for harmonic functions on smoothly-bordered subdomains of Riemann surfaces embeddable into $${\mathbb {C}}{\mathbb {P}}^2$$ C P 2 . The formula may be considered as… Click to show full abstract

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

Keywords: harmonic functions; integral formula; formula; riemann surfaces; formula harmonic; boundary integral

Journal Title: Computational Methods and Function Theory
Year Published: 2019

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