[Authors]
Nazarov, A.I.; Pusev, R.S.

[Title]
Exact small deviation asymptotics in L_2-norm for some weighted 
Gaussian processes

[AMS Subj-class]
Primary: 60G15 Gaussian processes

[Keywords]
Small deviations, Gaussian processes, weighted processes

[Abstract]
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.

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