Geodesic
Hermite transformation and the expansion of normalized convolution
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IV, Tome 72 (1977), pp. 107-115

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The article focuses on the computation of the coefficients of infinite-dimensional Edgeworth expansion. A method based on the Hermite transformation leads to explicit expressions for these coefficients in some cases. 
@article{ZNSL_1977_72_a8,
     author = {V. I. Polishchuk},
     title = {Hermite transformation and the expansion of normalized convolution},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {107--115},
     publisher = {mathdoc},
     volume = {72},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a8/}
}
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V. I. Polishchuk. Hermite transformation and the expansion of normalized convolution. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IV, Tome 72 (1977), pp. 107-115. http://geodesic.mathdoc.fr/item/ZNSL_1977_72_a8/