Exact L_2-small ball asymptotics of Gaussian processes and the spectrum of boundary value problems with "non-separated" boundary conditions

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dc.creatorNazarov, A. I.
dc.date2007-10-07
dc.date.accessioned2026-07-07T08:34:39Z
dc.date.available2026-07-07T08:34:39Z
dc.descriptionWe sharpen a classical result on the spectral asymptotics of the boundary value problems for self-adjoint ordinary differential operator. Using this result we obtain the exact $L_2$-small ball asymptotics for a new class of zero mean Gaussian processes. This class includes, in particular, integrated generalized Slepian process, integrated centered Wiener process and integrated centered Brownian bridge.
dc.identifierhttps://arxiv.org/abs/0710.1408
dc.identifierhttp://arxiv.org/abs/0710.1408
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139513
dc.subjectProbability
dc.subjectMathematical Physics
dc.titleExact L_2-small ball asymptotics of Gaussian processes and the spectrum of boundary value problems with "non-separated" boundary conditions
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