[Authors]
Petrova, Yu. P.
[Title]
Spectral asymptotics for problems with integral constraints
[AMS Subj-class]
34L20 Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions
60G15 Gaussian processes
[Abstract]
We consider an eigenvalue problem for the ordinary differential operator
of arbitrary order with integral constraints. We obtain the sharp asymptotics
of eigenvalues. This result is applied to the problem of small ball probabilities
for some $m$th order detrended Gaussian processes.
[Comments]
LaTeX, Russian, 9 pp.
[Contact e-mail]
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