A Spectral Theory of Non-Uniformly Continuous Functions and the   Loomis-Arendt-Batty-Vu Theory on the Asymptotic Behavior of Solutions of   Evolution Equations
  In this paper we present a new approach to the spectral theory of {\it non-uniformly continuous} functions and a new framework for the Loomis-Arendt-Batty-Vu theory. Our approach is direct and free of $C_0$-semigroups, so the obtained results, that extend previous ones, can be applied to large classes of evolution equations and their solutions. 
Nguyen Van Minh