Geodesic
On application of the van~der~Corput lemma to estimation of the characteristic functions of certain singular distributions
Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 2, pp. 389-391

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A multidimensional analogue of the van der Corput lemma is stated. It can be used to derive bounds (1) for the characteristic functions of certain distributions concentrated on smooth surfaces in $R^m$ with surface densities. Other possible applications are discussed. 
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     author = {V. V. Yurinskiǐ},
     title = {On application of the {van~der~Corput} lemma to estimation of the characteristic functions of certain singular distributions},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {389--391},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1971_16_2_a19/}
}
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V. V. Yurinskiǐ. On application of the van~der~Corput lemma to estimation of the characteristic functions of certain singular distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 2, pp. 389-391. http://geodesic.mathdoc.fr/item/TVP_1971_16_2_a19/