Geodesic
Spectral Asymptotics for Problems with Integral Constraints
Matematičeskie zametki, Tome 102 (2017) no. 3, pp. 405-414

Voir la notice de l'article provenant de la source Math-Net.Ru

The eigenvalue problem for differential operators of arbitrary order with integral constraints is considered. The asymptotics of the eigenvalues is obtained. The results are applied to finding the asymptotics of the probability of small deviations for some detrended processes of $n$th order.
Keywords: spectral asymptotics, Gaussian process, small deviation. 
@article{MZM_2017_102_3_a6,
     author = {Yu. P. Petrova},
     title = {Spectral {Asymptotics} for {Problems} with {Integral} {Constraints}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {405--414},
     publisher = {mathdoc},
     volume = {102},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_3_a6/}
}
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Yu. P. Petrova. Spectral Asymptotics for Problems with Integral Constraints. Matematičeskie zametki, Tome 102 (2017) no. 3, pp. 405-414. http://geodesic.mathdoc.fr/item/MZM_2017_102_3_a6/