Exact small deviation asymptotics in $L_2$-norm for some weighted Gaussian processes
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 14–2, Tome 364 (2009), pp. 166-199

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We find the exact small ball asymptotics under weighted $L_2$-norm for a wide class of Gaussian processes generating the boundary value problems for ordinary differential equations. Also the sharp constants in the asymptotics are derived for a number of processes connected with special functions. Bibl. – 23 titles.
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     author = {A. I. Nazarov and R. S. Pusev},
     title = {Exact small deviation asymptotics in $L_2$-norm for some weighted {Gaussian} processes},
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A. I. Nazarov; R. S. Pusev. Exact small deviation asymptotics in $L_2$-norm for some weighted Gaussian processes. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 14–2, Tome 364 (2009), pp. 166-199. http://geodesic.mathdoc.fr/item/ZNSL_2009_364_a7/