Asymptotic expansions of generalized functions

The definition is formulated of the asymptotic expansion of a generalized function depending on a parameter. A number of theorems are proved about the properties of asymptotic expansions and operations on them, in particular, theorems on differentiation and integration. For generalized functions of the form $f(x)e^{ixt}$, $f(x)\in S'$, $t\to\pm\infty$ the relation is investigated between the singularity carrier $f$ and the carrier of coefficient functionals.