Geodesic
Multidimensional tauberian comparison theorems for holomorphic functions of bounded argument
Izvestiya. Mathematics , Tome 39 (1992) no. 3, pp. 1097-1112

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Complex-valued admissible and completely admissible functions on a cone are considered. It is proved that holomorphic functions having nonnegative real part (bounded argument) are admissible. These functions are used as comparison functions in multidimensional Tauberian theorems for generalized functions. 
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     author = {Yu. N. Drozhzhinov and B. I. Zavialov},
     title = {Multidimensional tauberian comparison theorems for holomorphic functions of bounded argument},
     journal = {Izvestiya. Mathematics },
     pages = {1097--1112},
     publisher = {mathdoc},
     volume = {39},
     number = {3},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1992_39_3_a0/}
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Yu. N. Drozhzhinov; B. I. Zavialov. Multidimensional tauberian comparison theorems for holomorphic functions of bounded argument. Izvestiya. Mathematics , Tome 39 (1992) no. 3, pp. 1097-1112. http://geodesic.mathdoc.fr/item/IM2_1992_39_3_a0/