Geodesic
Asymptotic expansions of generalized functions
Matematičeskie zametki, Tome 12 (1972) no. 2, pp. 131-138.

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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. 
@article{MZM_1972_12_2_a2,
     author = {Yu. A. Brychkov},
     title = {Asymptotic expansions of generalized functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {131--138},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_2_a2/}
}
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Yu. A. Brychkov. Asymptotic expansions of generalized functions. Matematičeskie zametki, Tome 12 (1972) no. 2, pp. 131-138. http://geodesic.mathdoc.fr/item/MZM_1972_12_2_a2/