Geodesic
The Stein--Tikhomirov Method and a Nonclassical Central Limit Theorem
Matematičeskie zametki, Tome 71 (2002) no. 4, pp. 604-610

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We present a simplified version of the Stein–Tikhomirov method realized by defining a certain operator in the class of twice differentiable characteristic functions. Using this method, we establish a criterion for the validity of a nonclassical central limit theorem in terms of characteristic functions. 
@article{MZM_2002_71_4_a11,
     author = {Sh. K. Formanov},
     title = {The {Stein--Tikhomirov} {Method} and a {Nonclassical} {Central} {Limit} {Theorem}},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
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     number = {4},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_4_a11/}
}
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Sh. K. Formanov. The Stein--Tikhomirov Method and a Nonclassical Central Limit Theorem. Matematičeskie zametki, Tome 71 (2002) no. 4, pp. 604-610. http://geodesic.mathdoc.fr/item/MZM_2002_71_4_a11/