Geodesic
Local estimations of Levy concentration function in multidimensional and Hilbert space
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VIII, Tome 130 (1983), pp. 6-10

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Inequalities for Levy concentration function of random vectors are proved which generalize Kesten inequality. 
@article{ZNSL_1983_130_a0,
     author = {S. M. Anan'evskij and A. L. Miroshnikov},
     title = {Local estimations of {Levy} concentration function in multidimensional and {Hilbert} space},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {6--10},
     publisher = {mathdoc},
     volume = {130},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a0/}
}
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S. M. Anan'evskij; A. L. Miroshnikov. Local estimations of Levy concentration function in multidimensional and Hilbert space. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part VIII, Tome 130 (1983), pp. 6-10. http://geodesic.mathdoc.fr/item/ZNSL_1983_130_a0/