<ul><li>The paper investigates the uniformization theory of Gromov hyperbolic spaces using Busemann functions.</li><li>The approach is developed for unbounded domains, specifically the classical Poincaré half-space model.</li><li>Conformal densities via Busemann functions on Gromov hyperbolic spaces are studied, and it is proven that the resulting spaces are unbounded uniform spaces.</li><li>There is a one-to-one correspondence between proper geodesic Gromov hyperbolic spaces and unbounded locally compact uniform spaces.</li></ul>

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