[Authors]
 Nazarov, A. I.; Petrova, Yu. P.

[Title]
 The small ball asymptotics in Hilbertian norm for the
 Kac-Kiefer-Wolfowitz processes

[AMS Subj-class]
 60G15 Gaussian processes

[Abstract]
 We consider the spectral asymptotics for some integral-differential operators.
 The problem is reduced to the asymptotic expansion of some integrals containing
 slowly varying functions. Then we apply obtained results to the problem of
 small ball behavior in $L_2$-norm for some Gaussian processes of statistical
 interest.

[Keywords]
 Spectral Asymptotics, Slowly Varying Functions, Gaussian Processes,
 Small Ball Asymptotics

[Comments]
 LaTeX, Russian, 22 pp.

[Contact e-mail]
 al.il.nazarov@gmail.com