Source: wikibot/rado-s-theorem-riemann-surfaces
= Radó's theorem (Riemann surfaces)
{wiki=Radó's_theorem_(Riemann_surfaces)}
Radó's theorem is a result in complex analysis and the theory of Riemann surfaces. It states that any analytic (holomorphic) function defined on a compact Riemann surface can be extended to a function that is also holomorphic on a larger Riemann surface, provided the larger surface has the same genus as the compact surface.