Sharp small deviation asymptotics in $L_2-$norm for a~class of Gaussian processes
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 7, Tome 311 (2004), pp. 214-221

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We find the exact behavior of small deviations in Hilbert norm for centered Gaussian processes when their covariances have a special form of eigenvalues. This enables to describe small deviation asymptotics for certain particular Gaussian processes.
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     author = {Ya. Yu. Nikitin and P. A. Kharinski},
     title = {Sharp small deviation asymptotics in $L_2-$norm for a~class of {Gaussian} processes},
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Ya. Yu. Nikitin; P. A. Kharinski. Sharp small deviation asymptotics in $L_2-$norm for a~class of Gaussian processes. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 7, Tome 311 (2004), pp. 214-221. http://geodesic.mathdoc.fr/item/ZNSL_2004_311_a11/