Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data Yoshikazu GigaKatsuya InuiAlex MahalovJuergen Saal 76D0576U0535Q3028B0528C05Navier-Stokes equationsCoriolis forceglobal solutionsRadon measuresalmost periodic initial data We establish a global existence result for the rotating Navier-Stokes equations with nondecaying initial data in a critical space which include a large class of almost periodic functions. We introduce the scaling invariant function space which is defined as the divergence of the space of $3\times 3$ fields of Fourier transformed finite Radon measures. The smallness condition on initial data for global existence is explicitly given in terms of the Reynolds number. The condition is independent of the size of the angular velocity of rotation. Indiana University Mathematics Journal 2008 text pdf 10.1512/iumj.2008.57.3795 10.1512/iumj.2008.57.3795 en Indiana Univ. Math. J. 57 (2008) 2775 - 2792 state-of-the-art mathematics http://iumj.org/access/