Integral Operators Basic in Random Fields Estimation Theory

Simple item page
dc.creatorKozhevnikov, Alexander
dc.creatorRamm, Alexander G.
dc.date2004-05-03
dc.date.accessioned2026-07-07T04:31:09Z
dc.date.available2026-07-07T04:31:09Z
dc.descriptionThe paper deals with the basic integral equation of random field estimation theory by the criterion of minimum of variance of the error estimate. This integral equation is of the first kind. The corresponding integra$ operator over a bounded domain $Ω$ in ${\Bbb R}^{n}$ is weakly singular. This operator is an isomorphism between appropriate Sobolev spaces. This is proved by a reduction of the integral equ$ an elliptic boundary value problem in the domain exterior to $Ω.$ Extra difficulties arise due to the fact that the exterior boundary value problem should be solved in the Sobolev spaces of negative order.
dc.identifierhttps://arxiv.org/abs/math-ph/0405002
dc.identifierhttp://arxiv.org/abs/math-ph/0405002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57717
dc.subjectMathematical Physics
dc.subject35S15, 35R30, 45B05, 45P05, 62M09, 62M40 35B25
dc.titleIntegral Operators Basic in Random Fields Estimation Theory
dc.typetext

Files

Collections

arXiv